Your firm has determined they use the following production function: q = E°K Assume the current wage rate (w) is $400, the rental rate of capital (r) is $100, and your selling price is $10. (a) If capital is fixed at 5 units, what is your optimal number of employees? (b) What is your profit at this production level? (c) Now, assume you are in the long-run and have signed a contract to produce 250,000 units. How much capital and labor will you use now? Round to the nearest whole number. (d) What is your profit at this production level?

ECON MICRO
5th Edition
ISBN:9781337000536
Author:William A. McEachern
Publisher:William A. McEachern
Chapter7: Production And Cost In The Firm
Section: Chapter Questions
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Problem 1
Your firm has determined they use the following production function:
q = E°K
Assume the current wage rate (w) is $400, the rental rate of capital (r) is $100, and your selling
price is $10.
(a) If capital is fixed at 5 units, what is your optimal number of employees?
(b) What is your profit at this production level?
(c) Now, assume you are in the long-run and have signed a contract to produce 250,000 units. How
much capital and labor will you use now? Round to the nearest whole number.
(d) What is your profit at this production level?
Transcribed Image Text:Problem 1 Your firm has determined they use the following production function: q = E°K Assume the current wage rate (w) is $400, the rental rate of capital (r) is $100, and your selling price is $10. (a) If capital is fixed at 5 units, what is your optimal number of employees? (b) What is your profit at this production level? (c) Now, assume you are in the long-run and have signed a contract to produce 250,000 units. How much capital and labor will you use now? Round to the nearest whole number. (d) What is your profit at this production level?
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