Consider the following Cobb-Douglas production function q = KL for a firm. The firm is faced with market wage rates of w and rental rates of r. If the firm behaves optimally (minimizes costs): a) What are the optimal levels of K and L required by the firm? b) Derive the total cost function, average and marginal cost function

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Chapter11: Profit Maximization
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Consider the following Cobb-Douglas production function q = KL for
a firm. The firm is faced with market wage rates of w and rental rates of
r. If the firm behaves optimally (minimizes costs):
a) What are the optimal levels of K and L required by the firm?
b) Derive the total cost function, average and marginal cost function
Mathematics for Economics
End of Lecture 4
Mathematics for Economics
O
Department of Economics 41
Department of Economics
Transcribed Image Text:Consider the following Cobb-Douglas production function q = KL for a firm. The firm is faced with market wage rates of w and rental rates of r. If the firm behaves optimally (minimizes costs): a) What are the optimal levels of K and L required by the firm? b) Derive the total cost function, average and marginal cost function Mathematics for Economics End of Lecture 4 Mathematics for Economics O Department of Economics 41 Department of Economics
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