(a) Suppose a Firm produce output using the production function Q-5KL. Wage rate for hiring labor 200 an hour and cost of using capital is 100 per hour. (1) Find out the optimal quantities of labor (L) & capital (K’) to produce 1000 unit of output?. (i) Also show the result graphically and interpret.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
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(a) Suppose a Firm produce output using the production function Q=5KL. Wage rate for
hiring labor 200 an hour and cost of using capital is 100 per hour. (1) Find out the
optimal quantities of labor (L') & capital (K’) to produce 1000 unit of output?. (ii) Also
show the result graphically and interpret.
(b) Explain the concept of Isoquant and Isocost line in firm theory. Mathematically derive
the slope of isocost line and Isoquant and interpret.
Transcribed Image Text:(a) Suppose a Firm produce output using the production function Q=5KL. Wage rate for hiring labor 200 an hour and cost of using capital is 100 per hour. (1) Find out the optimal quantities of labor (L') & capital (K’) to produce 1000 unit of output?. (ii) Also show the result graphically and interpret. (b) Explain the concept of Isoquant and Isocost line in firm theory. Mathematically derive the slope of isocost line and Isoquant and interpret.
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