1. Given the following cost and production functions, find where production is optimized. C = 25x₁ + 5x2 Q = 5x₁²5x75 2. A firm wants to minimize the cost of producing 100 units of output given that the cost of labor (w) is $25 and the cost of capital (r) is $5. Output is produced according to the Cobb-Douglas production function: Q = 5K-5L.5.

Microeconomic Theory
12th Edition
ISBN:9781337517942
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Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.6P
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Question 1 and 2 please 

1. Given the following cost and production functions, find where production is optimized.
C = 25x₁ + 5x₂
.25.75
Q = 5x₁²5x75
2. A firm wants to minimize the cost of producing 100 units of output given that the cost of labor
(w) is $25 and the cost of capital (r) is $5. Output is produced according to the Cobb-Douglas
production function: Q = 5K-5L.5.
Transcribed Image Text:1. Given the following cost and production functions, find where production is optimized. C = 25x₁ + 5x₂ .25.75 Q = 5x₁²5x75 2. A firm wants to minimize the cost of producing 100 units of output given that the cost of labor (w) is $25 and the cost of capital (r) is $5. Output is produced according to the Cobb-Douglas production function: Q = 5K-5L.5.
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