A firm operates with a Cobb-Douglas Production function: Q = 12K0.4L0.4 where K is units of capital, and L is number of laborers. To produce an output, the firm must pay $40 per unit of capital, and $5 per laborer. However, the firm has a budget of $800 only to spend for labor cost and capital cost.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Answer the Constrained Optimization: Cobb-Douglas Production Function:

State the optimization problem of the firm.

A firm operates with a Cobb-Douglas Production function:
Q = 12K0.4L0.4
where K is units of capital, and L is number of laborers. To produce an output, the firm must pay
$40 per unit of capital, and $5 per laborer. However, the firm has a budget of $800 only to spend
for labor cost and capital cost.
Transcribed Image Text:A firm operates with a Cobb-Douglas Production function: Q = 12K0.4L0.4 where K is units of capital, and L is number of laborers. To produce an output, the firm must pay $40 per unit of capital, and $5 per laborer. However, the firm has a budget of $800 only to spend for labor cost and capital cost.
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