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Marginal Utility
Utility Theory ,[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
LAW OF DIMINISHING MARGINAL UTILITY ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 0 10 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7
TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 0 10 10 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7
TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 2 0 10 18 10 8 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7
TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 2 3 0 10 18 24 10 8 6 0 1 2 3 4 5 6 7 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 1 2 3 4 5 6 7
TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 2 3 4 0 10 18 24 28 10 8 6 4 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7
TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 2 3 4 5 0 10 18 24 28 30 10 8 6 4 2 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7
TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 2 3 4 5 6 0 10 18 24 28 30 30 10 8 6 4 2 0 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7
TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 2 3 4 5 6 7 0 10 18 24 28 30 30 28 10 8 6 4 2 0 -2 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 TU MU 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7
TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 2 3 4 5 6 7 0 10 18 24 28 30 30 28 10 8 6 4 2 0 -2 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 TU MU 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 Observe Diminishing Marginal Utility
Utility Maximizing Rule ,[object Object],[object Object]
First 10 10 24 12 UTILITY MAXIMIZING COMBINATION How should the $10 income be allocated? Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) $ 10 income
First 10 10 24 12 Examine the two marginal utilities Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income
First 10 10 24 12 Examine the two marginal utilities … per dollar Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income
First 10 10 24 12 Decision: Buy 1 Product B for $2 Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income
First 10 10 24 12 Second 8 8 20 10 Third 7 7 18 9 Fourth 6 6 16 8 Fifth 5 5 12 6 Sixth 4 4 6 3 Seventh 3 3 4 2 Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income What next?
First 10 10 24 12 Second 8 8 20 10 Third 7 7 18 9 Fourth 6 6 16 8 Fifth 5 5 12 6 Sixth 4 4 6 3 Seventh 3 3 4 2 Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income What next? Buy one of each
First 10 10 24 12 Second 8 8 20 10 Third 7 7 18 9 Fourth 6 6 16 8 Fifth 5 5 12 6 Sixth 4 4 6 3 Seventh 3 3 4 2 Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income and then... ($5 left)
First 10 10 24 12 Second 8 8 20 10 Third 7 7 18 9 Fourth 6 6 16 8 Fifth 5 5 12 6 Sixth 4 4 6 3 Seventh 3 3 4 2 Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income third unit of product B
First 10 10 24 12 Second 8 8 20 10 Third 7 7 18 9 Fourth 6 6 16 8 Fifth 5 5 12 6 Sixth 4 4 6 3 Seventh 3 3 4 2 Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income $3 left...
First 10 10 24 12 Second 8 8 20 10 Third 7 7 18 9 Fourth 6 6 16 8 Fifth 5 5 12 6 Sixth 4 4 6 3 Seventh 3 3 4 2 Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income $3 left... Buy both!
First 10 10 24 12 Second 8 8 20 10 Third 7 7 18 9 Fourth 6 6 16 8 Fifth 5 5 12 6 Sixth 4 4 6 3 Seventh 3 3 4 2 Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income Income is gone... the last dollar spent on each good gave the same utility (8) per dollar
Algebraic Restatement of the Utility Maximization Rule = UTILITY MAXIMIZING COMBINATION MU of product A Price of A MU of product B Price of B 8 Utils $1 16 Utils $2 =
 
 
Example
Utility Maximization Formula ,[object Object],[object Object],MU Price of Product A = MU Price of Product B

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Marginal Utility

  • 2.
  • 3.
  • 4.
  • 5. TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 0 10 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7
  • 6. TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 0 10 10 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7
  • 7. TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 2 0 10 18 10 8 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7
  • 8. TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 2 3 0 10 18 24 10 8 6 0 1 2 3 4 5 6 7 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 1 2 3 4 5 6 7
  • 9. TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 2 3 4 0 10 18 24 28 10 8 6 4 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7
  • 10. TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 2 3 4 5 0 10 18 24 28 30 10 8 6 4 2 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7
  • 11. TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 2 3 4 5 6 0 10 18 24 28 30 30 10 8 6 4 2 0 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7
  • 12. TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 2 3 4 5 6 7 0 10 18 24 28 30 30 28 10 8 6 4 2 0 -2 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 TU MU 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7
  • 13. TOTAL AND MARGINAL UTILITY Tacos consumed per meal Total Utility, Utils Marginal Utility, Utils 0 1 2 3 4 5 6 7 0 10 18 24 28 30 30 28 10 8 6 4 2 0 -2 Units consumed per meal Units consumed per meal 30 20 10 Total Utility (utils) Marginal Utility (utils) 10 8 6 4 2 0 -2 TU MU 0 1 2 3 4 5 6 7 1 2 3 4 5 6 7 Observe Diminishing Marginal Utility
  • 14.
  • 15. First 10 10 24 12 UTILITY MAXIMIZING COMBINATION How should the $10 income be allocated? Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) $ 10 income
  • 16. First 10 10 24 12 Examine the two marginal utilities Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income
  • 17. First 10 10 24 12 Examine the two marginal utilities … per dollar Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income
  • 18. First 10 10 24 12 Decision: Buy 1 Product B for $2 Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income
  • 19. First 10 10 24 12 Second 8 8 20 10 Third 7 7 18 9 Fourth 6 6 16 8 Fifth 5 5 12 6 Sixth 4 4 6 3 Seventh 3 3 4 2 Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income What next?
  • 20. First 10 10 24 12 Second 8 8 20 10 Third 7 7 18 9 Fourth 6 6 16 8 Fifth 5 5 12 6 Sixth 4 4 6 3 Seventh 3 3 4 2 Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income What next? Buy one of each
  • 21. First 10 10 24 12 Second 8 8 20 10 Third 7 7 18 9 Fourth 6 6 16 8 Fifth 5 5 12 6 Sixth 4 4 6 3 Seventh 3 3 4 2 Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income and then... ($5 left)
  • 22. First 10 10 24 12 Second 8 8 20 10 Third 7 7 18 9 Fourth 6 6 16 8 Fifth 5 5 12 6 Sixth 4 4 6 3 Seventh 3 3 4 2 Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income third unit of product B
  • 23. First 10 10 24 12 Second 8 8 20 10 Third 7 7 18 9 Fourth 6 6 16 8 Fifth 5 5 12 6 Sixth 4 4 6 3 Seventh 3 3 4 2 Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income $3 left...
  • 24. First 10 10 24 12 Second 8 8 20 10 Third 7 7 18 9 Fourth 6 6 16 8 Fifth 5 5 12 6 Sixth 4 4 6 3 Seventh 3 3 4 2 Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income $3 left... Buy both!
  • 25. First 10 10 24 12 Second 8 8 20 10 Third 7 7 18 9 Fourth 6 6 16 8 Fifth 5 5 12 6 Sixth 4 4 6 3 Seventh 3 3 4 2 Unit of product Product A: Price = $1 Product B: Price = $2 Marginal utility, utils Marginal utility per dollar (MU/price) Marginal utility, utils Marginal utility per dollar (MU/price) UTILITY MAXIMIZING COMBINATION $ 10 income Income is gone... the last dollar spent on each good gave the same utility (8) per dollar
  • 26. Algebraic Restatement of the Utility Maximization Rule = UTILITY MAXIMIZING COMBINATION MU of product A Price of A MU of product B Price of B 8 Utils $1 16 Utils $2 =
  • 27.  
  • 28.  
  • 30.