6. A firm's demand function for a certain good is given by P = 100e0.10 . Its total cost function is TC =100e0.10 What output level maximizes the firm's profit? +50. %3D 7. An individual's utility function is given by U =1000x, +450 x, +5x,x, -2x -x | where x, is the amount of leisure measured in hours per week and x, is income earned measured in cedis per week. Determine the value of the marginal utilities, when x, = 138 and x, = 500. Hence estimate the change in utility if the individual works for an extra hour, which increases earned income by GH¢15 per week. Does the law of diminishing utility hold for this function?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter18: Asymmetric Information
Section: Chapter Questions
Problem 18.3P
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6. A firm's demand function for a certain good is given by
-0.10
Р 3100е
Its total cost function is TC =100e0.10 +50.
What output level maximizes the firm's profit?
7. An individual's utility function is given by
U =1000x, +450x, +5x,x, -2x - x
where
is the amount of leisure measured in hours per
week and x, is income earned measured in cedis per week.
Determine the value of the marginal utilities, when x, = 138
and x, = 500. Hence estimate the change in utility if the
individual works for an extra hour, which increases earned
income by GH¢15 per week. Does the law of diminishing
utility hold for this function?
Transcribed Image Text:6. A firm's demand function for a certain good is given by -0.10 Р 3100е Its total cost function is TC =100e0.10 +50. What output level maximizes the firm's profit? 7. An individual's utility function is given by U =1000x, +450x, +5x,x, -2x - x where is the amount of leisure measured in hours per week and x, is income earned measured in cedis per week. Determine the value of the marginal utilities, when x, = 138 and x, = 500. Hence estimate the change in utility if the individual works for an extra hour, which increases earned income by GH¢15 per week. Does the law of diminishing utility hold for this function?
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