2. Suppose that a perfectly competitive firm uses two inputs to produce one output. The conditional factor demand functions for this firm are as follows: x1(W1, W2, y) = (2w2/w;)/3y*/3 x2(w1, W2, y) = (w,/2w2)2/3y+/3 a) Find the cost function. b) Using the cost function, setup the firm's profit maximization problem and find the supply function. c) Using the supply function, derive the factor demand functions.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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2. Suppose that a perfectly competitive firm uses two inputs to produce one output. The
conditional factor demand functions for this firm are as follows:
x1(W1, W2, y) = (2w2/w;)/3y*/3
x2(W1, W2, y) = (w1/2w2)²/3y4/3
a) Find the cost function.
b) Using the cost function, setup the firm's profit maximization problem and find the
supply function.
c) Using the supply function, derive the factor demand functions.
Transcribed Image Text:2. Suppose that a perfectly competitive firm uses two inputs to produce one output. The conditional factor demand functions for this firm are as follows: x1(W1, W2, y) = (2w2/w;)/3y*/3 x2(W1, W2, y) = (w1/2w2)²/3y4/3 a) Find the cost function. b) Using the cost function, setup the firm's profit maximization problem and find the supply function. c) Using the supply function, derive the factor demand functions.
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