For the Cobb-Douglas production function P and isocost line (budget constraint, in dollars), find the amounts of labor L and capital K that maximize production, and also find the maximum production. Then evaluate and give an interpretation for 2 and use it to answer the question. (a) Maximize P = 2000L3/52/5 with budget constraint 15L + 320K = 8000. L = P = (b) Evaluate and give an interpretation for 121. Each additional dollar of budget [increases production by this amount. (c) Approximate the increase in production if the budget is increased by $80. units

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter11: Profit Maximization
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Problem 11.14P
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For the Cobb-Douglas production function P and isocost line (budget constraint, in dollars), find the amounts of labor L and capital K that maximize production,
and also find the maximum production. Then evaluate and give an interpretation for |å| and use it to answer the question.
(a) Maximize P = 2000L3/5K2/5 with budget constraint 15L + 32OK = 8000.
L =
K =
P =
(b) Evaluate and give an interpretation for |21.
Each additional dollar of budget increases
production by this amount.
(c) Approximate the increase in production if the budget is increased by $80.
units
Transcribed Image Text:For the Cobb-Douglas production function P and isocost line (budget constraint, in dollars), find the amounts of labor L and capital K that maximize production, and also find the maximum production. Then evaluate and give an interpretation for |å| and use it to answer the question. (a) Maximize P = 2000L3/5K2/5 with budget constraint 15L + 32OK = 8000. L = K = P = (b) Evaluate and give an interpretation for |21. Each additional dollar of budget increases production by this amount. (c) Approximate the increase in production if the budget is increased by $80. units
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