SlideShare une entreprise Scribd logo
1  sur  1
Télécharger pour lire hors ligne
firm rdus utut using inuts f lbr L nd ital , with ris W nd R, rstivl. Th firm n frl vr its us f bth L
nd nd rts s th mnnr dsribd b mdl f lbr dmnd with tw inputs frm th minimiztin st rstiv. t th urrnt
lvl f utut, th mrginl rdut f lbr is 50 nd th mrginl rdut f itl is 100. Th wg rt is 25, nd th rntl rt f itl R
is 5. In rdr t minimiz th st f rduing its urrnt lvl f utut, th firm shuld
(i) ir mr lbr L nd us mr itl
(ii) ir mr lbr L nd us lss itl
(iii) ir lss lbr L nd us mr itl
(iv) ir lss lbr L nd us lss itl
rvid grh. Us -L isqunts nd isst rrsnttin.

Contenu connexe

Plus de vineetaries09

Find the solution of the following recurrence relation T(n)=7T(2n)+n.pdf
 Find the solution of the following recurrence relation T(n)=7T(2n)+n.pdf Find the solution of the following recurrence relation T(n)=7T(2n)+n.pdf
Find the solution of the following recurrence relation T(n)=7T(2n)+n.pdfvineetaries09
 
Find the probability that x is between four and 14. (Round your answe.pdf
 Find the probability that x is between four and 14. (Round your answe.pdf Find the probability that x is between four and 14. (Round your answe.pdf
Find the probability that x is between four and 14. (Round your answe.pdfvineetaries09
 
Find the P-value for the following values of the test stetistic 1 , s.pdf
 Find the P-value for the following values of the test stetistic 1 , s.pdf Find the P-value for the following values of the test stetistic 1 , s.pdf
Find the P-value for the following values of the test stetistic 1 , s.pdfvineetaries09
 
Find the P-value for a left-tailed hypothesis test with a test statis.pdf
 Find the P-value for a left-tailed hypothesis test with a test statis.pdf Find the P-value for a left-tailed hypothesis test with a test statis.pdf
Find the P-value for a left-tailed hypothesis test with a test statis.pdfvineetaries09
 
Find the median of the distribution of the random variable Y where .pdf
 Find the median of the distribution of the random variable Y where .pdf Find the median of the distribution of the random variable Y where .pdf
Find the median of the distribution of the random variable Y where .pdfvineetaries09
 
Find the area of the shaded region. The graph depicts the standard no.pdf
 Find the area of the shaded region. The graph depicts the standard no.pdf Find the area of the shaded region. The graph depicts the standard no.pdf
Find the area of the shaded region. The graph depicts the standard no.pdfvineetaries09
 
Find the insicated 10 score. The graphso the right depicts iO scores .pdf
 Find the insicated 10 score. The graphso the right depicts iO scores .pdf Find the insicated 10 score. The graphso the right depicts iO scores .pdf
Find the insicated 10 score. The graphso the right depicts iO scores .pdfvineetaries09
 
Find the mean of the following probability distribution Round to the.pdf
 Find the mean of the following probability distribution Round to the.pdf Find the mean of the following probability distribution Round to the.pdf
Find the mean of the following probability distribution Round to the.pdfvineetaries09
 
Find the indicated probability of the standard normal random variable.pdf
 Find the indicated probability of the standard normal random variable.pdf Find the indicated probability of the standard normal random variable.pdf
Find the indicated probability of the standard normal random variable.pdfvineetaries09
 
Find the indicated IQ score. The graph to the right depicts IQ scor.pdf
 Find the indicated IQ score. The graph to the right depicts IQ scor.pdf Find the indicated IQ score. The graph to the right depicts IQ scor.pdf
Find the indicated IQ score. The graph to the right depicts IQ scor.pdfvineetaries09
 
Find the indicated IQ score. The graph to the right depicts IQ scores.pdf
 Find the indicated IQ score. The graph to the right depicts IQ scores.pdf Find the indicated IQ score. The graph to the right depicts IQ scores.pdf
Find the indicated IQ score. The graph to the right depicts IQ scores.pdfvineetaries09
 
Find the indicated area under the standard normal curve To the left o.pdf
 Find the indicated area under the standard normal curve To the left o.pdf Find the indicated area under the standard normal curve To the left o.pdf
Find the indicated area under the standard normal curve To the left o.pdfvineetaries09
 
Find the Fourier series of f(x)={1,2,2x00x2.pdf
 Find the Fourier series of f(x)={1,2,2x00x2.pdf Find the Fourier series of f(x)={1,2,2x00x2.pdf
Find the Fourier series of f(x)={1,2,2x00x2.pdfvineetaries09
 
Find each for a 95 confidence level (.95 level) The value of alpha T.pdf
 Find each for a 95 confidence level (.95 level) The value of alpha T.pdf Find each for a 95 confidence level (.95 level) The value of alpha T.pdf
Find each for a 95 confidence level (.95 level) The value of alpha T.pdfvineetaries09
 
Find a tight asymtotic bound for T(n) given by the following recurren.pdf
 Find a tight asymtotic bound for T(n) given by the following recurren.pdf Find a tight asymtotic bound for T(n) given by the following recurren.pdf
Find a tight asymtotic bound for T(n) given by the following recurren.pdfvineetaries09
 
Find the confidence level related to the critical value z2=1.787. .pdf
 Find the confidence level related to the critical value z2=1.787. .pdf Find the confidence level related to the critical value z2=1.787. .pdf
Find the confidence level related to the critical value z2=1.787. .pdfvineetaries09
 
Find the area of the shaded region. The graph to the right depicts 1Q.pdf
 Find the area of the shaded region. The graph to the right depicts 1Q.pdf Find the area of the shaded region. The graph to the right depicts 1Q.pdf
Find the area of the shaded region. The graph to the right depicts 1Q.pdfvineetaries09
 
Find P(X+Y4). Express final answer as fraction.The joint probabil.pdf
 Find P(X+Y4). Express final answer as fraction.The joint probabil.pdf Find P(X+Y4). Express final answer as fraction.The joint probabil.pdf
Find P(X+Y4). Express final answer as fraction.The joint probabil.pdfvineetaries09
 
Find the domain of f. Use an inequality to write the domain. Select t.pdf
 Find the domain of f. Use an inequality to write the domain. Select t.pdf Find the domain of f. Use an inequality to write the domain. Select t.pdf
Find the domain of f. Use an inequality to write the domain. Select t.pdfvineetaries09
 
Find the area of the shaded region. The graph to the right depicts IQ.pdf
 Find the area of the shaded region. The graph to the right depicts IQ.pdf Find the area of the shaded region. The graph to the right depicts IQ.pdf
Find the area of the shaded region. The graph to the right depicts IQ.pdfvineetaries09
 

Plus de vineetaries09 (20)

Find the solution of the following recurrence relation T(n)=7T(2n)+n.pdf
 Find the solution of the following recurrence relation T(n)=7T(2n)+n.pdf Find the solution of the following recurrence relation T(n)=7T(2n)+n.pdf
Find the solution of the following recurrence relation T(n)=7T(2n)+n.pdf
 
Find the probability that x is between four and 14. (Round your answe.pdf
 Find the probability that x is between four and 14. (Round your answe.pdf Find the probability that x is between four and 14. (Round your answe.pdf
Find the probability that x is between four and 14. (Round your answe.pdf
 
Find the P-value for the following values of the test stetistic 1 , s.pdf
 Find the P-value for the following values of the test stetistic 1 , s.pdf Find the P-value for the following values of the test stetistic 1 , s.pdf
Find the P-value for the following values of the test stetistic 1 , s.pdf
 
Find the P-value for a left-tailed hypothesis test with a test statis.pdf
 Find the P-value for a left-tailed hypothesis test with a test statis.pdf Find the P-value for a left-tailed hypothesis test with a test statis.pdf
Find the P-value for a left-tailed hypothesis test with a test statis.pdf
 
Find the median of the distribution of the random variable Y where .pdf
 Find the median of the distribution of the random variable Y where .pdf Find the median of the distribution of the random variable Y where .pdf
Find the median of the distribution of the random variable Y where .pdf
 
Find the area of the shaded region. The graph depicts the standard no.pdf
 Find the area of the shaded region. The graph depicts the standard no.pdf Find the area of the shaded region. The graph depicts the standard no.pdf
Find the area of the shaded region. The graph depicts the standard no.pdf
 
Find the insicated 10 score. The graphso the right depicts iO scores .pdf
 Find the insicated 10 score. The graphso the right depicts iO scores .pdf Find the insicated 10 score. The graphso the right depicts iO scores .pdf
Find the insicated 10 score. The graphso the right depicts iO scores .pdf
 
Find the mean of the following probability distribution Round to the.pdf
 Find the mean of the following probability distribution Round to the.pdf Find the mean of the following probability distribution Round to the.pdf
Find the mean of the following probability distribution Round to the.pdf
 
Find the indicated probability of the standard normal random variable.pdf
 Find the indicated probability of the standard normal random variable.pdf Find the indicated probability of the standard normal random variable.pdf
Find the indicated probability of the standard normal random variable.pdf
 
Find the indicated IQ score. The graph to the right depicts IQ scor.pdf
 Find the indicated IQ score. The graph to the right depicts IQ scor.pdf Find the indicated IQ score. The graph to the right depicts IQ scor.pdf
Find the indicated IQ score. The graph to the right depicts IQ scor.pdf
 
Find the indicated IQ score. The graph to the right depicts IQ scores.pdf
 Find the indicated IQ score. The graph to the right depicts IQ scores.pdf Find the indicated IQ score. The graph to the right depicts IQ scores.pdf
Find the indicated IQ score. The graph to the right depicts IQ scores.pdf
 
Find the indicated area under the standard normal curve To the left o.pdf
 Find the indicated area under the standard normal curve To the left o.pdf Find the indicated area under the standard normal curve To the left o.pdf
Find the indicated area under the standard normal curve To the left o.pdf
 
Find the Fourier series of f(x)={1,2,2x00x2.pdf
 Find the Fourier series of f(x)={1,2,2x00x2.pdf Find the Fourier series of f(x)={1,2,2x00x2.pdf
Find the Fourier series of f(x)={1,2,2x00x2.pdf
 
Find each for a 95 confidence level (.95 level) The value of alpha T.pdf
 Find each for a 95 confidence level (.95 level) The value of alpha T.pdf Find each for a 95 confidence level (.95 level) The value of alpha T.pdf
Find each for a 95 confidence level (.95 level) The value of alpha T.pdf
 
Find a tight asymtotic bound for T(n) given by the following recurren.pdf
 Find a tight asymtotic bound for T(n) given by the following recurren.pdf Find a tight asymtotic bound for T(n) given by the following recurren.pdf
Find a tight asymtotic bound for T(n) given by the following recurren.pdf
 
Find the confidence level related to the critical value z2=1.787. .pdf
 Find the confidence level related to the critical value z2=1.787. .pdf Find the confidence level related to the critical value z2=1.787. .pdf
Find the confidence level related to the critical value z2=1.787. .pdf
 
Find the area of the shaded region. The graph to the right depicts 1Q.pdf
 Find the area of the shaded region. The graph to the right depicts 1Q.pdf Find the area of the shaded region. The graph to the right depicts 1Q.pdf
Find the area of the shaded region. The graph to the right depicts 1Q.pdf
 
Find P(X+Y4). Express final answer as fraction.The joint probabil.pdf
 Find P(X+Y4). Express final answer as fraction.The joint probabil.pdf Find P(X+Y4). Express final answer as fraction.The joint probabil.pdf
Find P(X+Y4). Express final answer as fraction.The joint probabil.pdf
 
Find the domain of f. Use an inequality to write the domain. Select t.pdf
 Find the domain of f. Use an inequality to write the domain. Select t.pdf Find the domain of f. Use an inequality to write the domain. Select t.pdf
Find the domain of f. Use an inequality to write the domain. Select t.pdf
 
Find the area of the shaded region. The graph to the right depicts IQ.pdf
 Find the area of the shaded region. The graph to the right depicts IQ.pdf Find the area of the shaded region. The graph to the right depicts IQ.pdf
Find the area of the shaded region. The graph to the right depicts IQ.pdf
 

Dernier

Micro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfMicro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfPoh-Sun Goh
 
Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)Jisc
 
Dyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptxDyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptxcallscotland1987
 
FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024Elizabeth Walsh
 
On National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsOn National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsMebane Rash
 
ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.MaryamAhmad92
 
SOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning PresentationSOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning Presentationcamerronhm
 
Kodo Millet PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
Kodo Millet  PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...Kodo Millet  PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
Kodo Millet PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...pradhanghanshyam7136
 
Single or Multiple melodic lines structure
Single or Multiple melodic lines structureSingle or Multiple melodic lines structure
Single or Multiple melodic lines structuredhanjurrannsibayan2
 
Towards a code of practice for AI in AT.pptx
Towards a code of practice for AI in AT.pptxTowards a code of practice for AI in AT.pptx
Towards a code of practice for AI in AT.pptxJisc
 
Key note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfKey note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfAdmir Softic
 
HMCS Max Bernays Pre-Deployment Brief (May 2024).pptx
HMCS Max Bernays Pre-Deployment Brief (May 2024).pptxHMCS Max Bernays Pre-Deployment Brief (May 2024).pptx
HMCS Max Bernays Pre-Deployment Brief (May 2024).pptxEsquimalt MFRC
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.pptRamjanShidvankar
 
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptxSKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptxAmanpreet Kaur
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxVishalSingh1417
 
Google Gemini An AI Revolution in Education.pptx
Google Gemini An AI Revolution in Education.pptxGoogle Gemini An AI Revolution in Education.pptx
Google Gemini An AI Revolution in Education.pptxDr. Sarita Anand
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxVishalSingh1417
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...christianmathematics
 
Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...Association for Project Management
 

Dernier (20)

Micro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfMicro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdf
 
Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)
 
Dyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptxDyslexia AI Workshop for Slideshare.pptx
Dyslexia AI Workshop for Slideshare.pptx
 
FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024FSB Advising Checklist - Orientation 2024
FSB Advising Checklist - Orientation 2024
 
On National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan FellowsOn National Teacher Day, meet the 2024-25 Kenan Fellows
On National Teacher Day, meet the 2024-25 Kenan Fellows
 
ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.
 
SOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning PresentationSOC 101 Demonstration of Learning Presentation
SOC 101 Demonstration of Learning Presentation
 
Spatium Project Simulation student brief
Spatium Project Simulation student briefSpatium Project Simulation student brief
Spatium Project Simulation student brief
 
Kodo Millet PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
Kodo Millet  PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...Kodo Millet  PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
Kodo Millet PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
 
Single or Multiple melodic lines structure
Single or Multiple melodic lines structureSingle or Multiple melodic lines structure
Single or Multiple melodic lines structure
 
Towards a code of practice for AI in AT.pptx
Towards a code of practice for AI in AT.pptxTowards a code of practice for AI in AT.pptx
Towards a code of practice for AI in AT.pptx
 
Key note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfKey note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdf
 
HMCS Max Bernays Pre-Deployment Brief (May 2024).pptx
HMCS Max Bernays Pre-Deployment Brief (May 2024).pptxHMCS Max Bernays Pre-Deployment Brief (May 2024).pptx
HMCS Max Bernays Pre-Deployment Brief (May 2024).pptx
 
Application orientated numerical on hev.ppt
Application orientated numerical on hev.pptApplication orientated numerical on hev.ppt
Application orientated numerical on hev.ppt
 
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptxSKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
SKILL OF INTRODUCING THE LESSON MICRO SKILLS.pptx
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptx
 
Google Gemini An AI Revolution in Education.pptx
Google Gemini An AI Revolution in Education.pptxGoogle Gemini An AI Revolution in Education.pptx
Google Gemini An AI Revolution in Education.pptx
 
Unit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptxUnit-IV- Pharma. Marketing Channels.pptx
Unit-IV- Pharma. Marketing Channels.pptx
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
 
Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...Making communications land - Are they received and understood as intended? we...
Making communications land - Are they received and understood as intended? we...
 

firm rdus utut using inuts f lbr L nd ital , with ris W nd R, rsti.pdf

  • 1. firm rdus utut using inuts f lbr L nd ital , with ris W nd R, rstivl. Th firm n frl vr its us f bth L nd nd rts s th mnnr dsribd b mdl f lbr dmnd with tw inputs frm th minimiztin st rstiv. t th urrnt lvl f utut, th mrginl rdut f lbr is 50 nd th mrginl rdut f itl is 100. Th wg rt is 25, nd th rntl rt f itl R is 5. In rdr t minimiz th st f rduing its urrnt lvl f utut, th firm shuld (i) ir mr lbr L nd us mr itl (ii) ir mr lbr L nd us lss itl (iii) ir lss lbr L nd us mr itl (iv) ir lss lbr L nd us lss itl rvid grh. Us -L isqunts nd isst rrsnttin.