1. Next Exam
!
Exam 6
Thursday December 26
!
Chapters 18, 19, 20 and 21

2. Microeconomics
Lecture 21
!
Consumer Choice

3. Key Terms
!
Indifference Curves
Budget Constraints
Maximizing Marginal Utility per Riyal

4. What is Utility?

5. What is Utility?
Happiness
Satisfaction
Pleasure
Enjoyment

6. Remember Three Utility Principles
Utility is measured in “Utils.”
Utils are just for analyzing and comparing.
!
Utility is subjective
Different for everyone and changes all the
time.
!
Utility diminishes at the margin
Diminishing marginal utility
Goes down as you consume more.

7. ?
Or

8. Marginal Utility Per Riyal
!

9. Marginal Utility
Per Riyal
of Pizza
Marginal Utility
Per Riyal
of Soda
Versus

10. Pizza
Price
MU/P
÷
20
20
5
Marginal Utility
Pepsi
2
4
10

11. Pizza
Price
MU/P
÷
20
20
5
Marginal Utility
Pepsi
2
4
10

13. Marginal Utility
20
15
10
5
0
-5
1
2
3
4
5
6

14. Marginal Utility
20
15
10
5
0
-5
1
2
3
4
5
6

15. Marginal Utility
20
15
10
5
0
-5
1
2
3
4
5
6

16. Marginal Utility
20
15
10
5
0
-5
1
2
3
4
5
6

17. Marginal Utility
20
15
10
5
0
-5
1
2
3
4
5
6

18. Marginal Utility
20
15
10
5
0
-5
1
2
3
4
5
6

19. Marginal Utility
20
15
10
5
0
-5
1
2
3
4
5
6

21. Total Utility
60
50
40
30
20
10
0
1
2
3
4
5
6

22. Total Utility
60
50
40
30
20
10
0
1
2
3
4
5
6

23. Total Utility
60
50
40
30
20
10
0
1
2
3
4
5
6

24. Total Utility
60
50
40
30
20
10
0
1
2
3
4
5
6

25. Total Utility
60
50
40
30
20
10
0
1
2
3
4
5
6

26. Total Utility
60
50
40
30
20
10
0
1
2
3
4
5
6

27. Total Utility
60
50
40
30
20
10
0
1
2
3
4
5
6

28. Production Possibilities
iPhone
iPad

29. Production Possibilities
100
90
80
70
iPhone
60
50
40
30
20
10
0
0
10
20
30
40
50
60
70
80
90
100
iPad

30. Production Possibilities
100
90
80
70
iPhone
60
50
40
30
20
10
0
0
10
20
30
40
50
60
70
80
90
100
iPad

31. Indifference Curve

32. Indifference Curve

33. Indifference Curve

34. Indifference Curve
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
2
3
4
5
6
7
8
9
10

35. Indifference Curve
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
2
3
4
5
6
7
8
9
10

36. Indifference Curve
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
Just as happy
anywhere on the
curve
0
1
2
3
4
5
6
7
8
9
10

37. Indifference Curve
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
Just as happy
anywhere on the
curve
0
1
2
3
4
5
6
7
8
9
10

38. Indifference Curve
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
Just as happy
anywhere on the
curve
0
1
2
3
4
5
6
7
8
9
10

39. Budget Constraint

40. Budget Constraint

41. Budget Constraint
2

42. Budget Constraint
2

43. Budget Constraint
2
5

44. Budget Constraint
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
2
3
4
5
6
7
8
9
10
5

45. Budget Constraint
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
Budget of 30
2
3
4
5
6
7
8
9
10
5

46. Budget Constraint
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
Budget of 30
2
3
4
5
6
7
8
9
10
5

47. Budget Constraint
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
Budget of 30
2
3
4
5
6
7
8
9
10
5

48. Budget Constraint
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
Budget of 30
2
3
4
5
6
7
8
9
10
5

49. Budget Constraint
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
Budget of 30
2
3
4
5
6
7
8
9
10
5

50. Budget Constraint
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
Still have money
0
1
Budget of 30
2
3
4
5
6
7
8
9
10
5

51. Budget Constraint
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
Still have money
0
1
Budget of 30
2
3
4
5
6
7
8
9
10
5

52. Budget Constraint
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
Don’t have enough money
Still have money
0
1
Budget of 30
2
3
4
5
6
7
8
9
10
5

53. Budget Constraint and Indifference Curve

54. Budget Constraint and Indifference Curve

55. Budget Constraint and Indifference Curve
2

56. Budget Constraint and Indifference Curve
2

57. Budget Constraint and Indifference Curve
2
5

58. Budget Constraint and Indifference Curve
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
2
3
4
5
6
7
8
9
10
5

59. Budget Constraint and Indifference Curve
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
Budget of 30
2
3
4
5
6
7
8
9
10
5

60. Budget Constraint and Indifference Curve
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
Budget of 30
2
3
4
5
6
7
8
9
10
5

61. Budget Constraint and Indifference Curve
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
Budget of 30
2
3
4
5
6
7
8
9
10
5

62. Budget Constraint and Indifference Curve
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
Budget of 30
2
3
4
5
6
7
8
9
10
5

63. Budget Constraint and Indifference Curve
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
Budget of 30
2
3
4
5
6
7
8
9
10
5

64. 2
Budget Constraint and Indifference Curve
Where does the
budget constraint
curve touch the
highest
indifference
curve?
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
Budget of 30
2
3
4
5
6
7
8
9
10
5

65. 2
Budget Constraint and Indifference Curve
Where does the
budget constraint
curve touch the
highest
indifference
curve?
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
Budget of 30
2
3
4
5
6
7
8
9
10
5

66. 2
Budget Constraint and Indifference Curve
Where does the
budget constraint
curve touch the
highest
indifference
curve?
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
Budget of 30
2
3
4
5
6
7
8
9
10
5

68. Slices
1
2
3
4
5
6

69. Marginal
Slices
Utility
1
20
2
16
3
10
4
6
5
2
6
-3

70. Marginal
Total
Slices
Utility
Utility
1
20
20
2
16
36
3
10
46
4
6
52
5
2
54
6
-3
51

71. Price
Per Slice
5
Marginal
Marginal
Total
Utility
Slices
Utility
Utility
Per Riyal
1
20
20
4.0
2
16
36
3.2
3
10
46
2.0
4
6
52
1.2
5
2
54
0.4
6
-3
51
-0.6

72. Price
Per Slice
5
Marginal
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
2
16
36
3.2
10
3
10
46
2.0
15
4
6
52
1.2
20
5
2
54
0.4
25
6
-3
51
-0.6
30

73. Equal Marginal Utility Per Riyal
!
MU1
MU2
=
P1
P2
Spending on 1 + Spending on 2 ≤ Budget

77. Slices
1
2
3
4
5
6

78. Marginal
Slices
Utility
1
20
2
16
3
10
4
6
5
2
6
-3

79. Marginal
Total
Slices
Utility
Utility
1
20
20
2
16
36
3
10
46
4
6
52
5
2
54
6
-3
51

80. Per Slice
5
Marginal
Marginal
Total
Utility
Slices
Utility
Utility
Per Riyal
1
20
20
4.0
2
16
36
3.2
3
10
46
2.0
4
6
52
1.2
5
2
54
0.4
6
-3
51
-0.6

81. Per Slice
5
Marginal
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
2
16
36
3.2
10
3
10
46
2.0
15
4
6
52
1.2
20
5
2
54
0.4
25
6
-3
51
-0.6
30

82. Per Slice
5
Marginal
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
1
20
20
4.0
5
1
2
16
36
3.2
10
2
3
10
46
2.0
15
3
4
6
52
1.2
20
4
5
2
54
0.4
25
5
6
-3
51
-0.6
30
6

83. Per Slice
5
Marginal
Marginal
Total
Utility
Total
Marginal
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
1
20
20
4.0
5
1
20
2
16
36
3.2
10
2
15
3
10
46
2.0
15
3
10
4
6
52
1.2
20
4
5
5
2
54
0.4
25
5
3
6
-3
51
-0.6
30
6
-1

84. Per Slice
5
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
1
20
20
4.0
5
1
20
20
2
16
36
3.2
10
2
15
35
3
10
46
2.0
15
3
10
45
4
6
52
1.2
20
4
5
50
5
2
54
0.4
25
5
3
53
6
-3
51
-0.6
30
6
-1
52

85. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
1
20
20
4.0
5
1
20
20
10.0
2
16
36
3.2
10
2
15
35
7.5
3
10
46
2.0
15
3
10
45
5.0
4
6
52
1.2
20
4
5
50
2.5
5
2
54
0.4
25
5
3
53
1.5
6
-3
51
-0.6
30
6
-1
52
-0.5

86. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12

87. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent:

88. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent:

89. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent:

90. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 2

91. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 2

92. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 2

93. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 4

94. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 4

95. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 4

96. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 6

97. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 6

98. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 6

99. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 11

100. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 11

101. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 11

102. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 16

103. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 16

104. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 16

105. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 18

106. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 18

107. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 18

108. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 23

109. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 23

110. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 23

111. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 25

112. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 25

113. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 25

114. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 30

115. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 30

116. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 30

117. Per Slice
Per Can
5
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
4.0
5
1
20
20
10.0
2
2
16
36
3.2
10
2
15
35
7.5
4
3
10
46
2.0
15
3
10
45
5.0
6
4
6
52
1.2
20
4
5
50
2.5
8
5
2
54
0.4
25
5
3
53
1.5
10
6
-3
51
-0.6
30
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 30
Utility Maximized: 105

118. Budget Constraint
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
Budget of 30
2
3
4
5
6
5
7
8
9
10

119. Budget Constraint
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
Budget of 30
2
3
4
5
6
5
7
8
9
10
3

120. Budget Constraint
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
0
1
Budget of 30
2
3
4
5
6
5
7
8
9
10
3

121. Budget Constraint
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
New price will
change slope of
curve
0
1
Budget of 30
2
3
4
5
6
5
7
8
9
10
3

122. Budget Constraint
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
New price will
change slope of
curve
0
1
Budget of 30
2
3
4
5
6
5
7
8
9
10
3

123. Budget Constraint
2
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
New price will
change slope of
curve
0
1
Budget of 30
2
3
4
5
6
5
7
8
9
10
3

124. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12

125. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent:

126. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent:

127. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent:

128. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 2

129. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 2

130. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 2

131. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 4

132. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 4

133. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 4

134. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 7

135. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 7

136. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 7

137. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 10

138. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 10

139. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 10

140. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 12

141. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 12

142. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 12

143. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 15

144. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 15

145. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 15

146. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 17

147. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 17

148. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 17

149. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 20

150. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 20

151. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 20

152. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 22

153. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 22

154. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 22

155. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 25

156. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 25

157. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 25

158. Price Drops
Per Slice
Per Can
3
2
Marginal
Marginal
Marginal
Total
Utility
Total
Marginal
Total
Utility
Total
Slices
Utility
Utility
Per Riyal
Costs
Cans
Utility
Utility
Per Riyal
Costs
1
20
20
6.7
3
1
20
20
10.0
2
2
16
36
5.3
6
2
15
35
7.5
4
3
10
46
3.3
9
3
10
45
5.0
6
4
6
52
2.0
12
4
5
50
2.5
8
5
2
54
0.7
15
5
3
53
1.5
10
6
-3
51
-1.0
18
6
-1
52
-0.5
12
Budget 30 SAR
Spent: 25
Utility Maximized: 107

159. Exam 6 Review
Thursday December 26
Chapters 18, 19, 20 and 21
Blog Slides and Questions
25 questions
Pencil
Calculator