2. A firm uses capital (denoted by K) and labor (denoted by L) to produce hockey sticks. The firm's production function is given by q = 2\KL. In the short run, the firm's amount of capital equipment is fixed at K = 100. The rental rate for capital is $1 per unit and the wage rate is equal to $4. a) Calculate the firm's short-run total cost function. Also, calculate the short-run average cost function. b) Calculate the firm's short-run marginal cost function. c) Graph the firm's short-run marginal and average (total, fixed, and variable) cost curves. d) Where does the short-run marginal cost intersect the short-run total average cost? Explain why this is so.
2. A firm uses capital (denoted by K) and labor (denoted by L) to produce hockey sticks. The firm's production function is given by q = 2\KL. In the short run, the firm's amount of capital equipment is fixed at K = 100. The rental rate for capital is $1 per unit and the wage rate is equal to $4. a) Calculate the firm's short-run total cost function. Also, calculate the short-run average cost function. b) Calculate the firm's short-run marginal cost function. c) Graph the firm's short-run marginal and average (total, fixed, and variable) cost curves. d) Where does the short-run marginal cost intersect the short-run total average cost? Explain why this is so.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:2. A firm uses capital (denoted by K) and labor (denoted by L) to produce hockey sticks. The
firm's production function is given by q = 2/KL . In the short run, the firm's amount of capital
equipment is fixed at K = 100. The rental rate for capital is $1 per unit and the wage rate is equal
%3D
to $4.
a) Calculate the firm's short-run total cost function. Also, calculate the short-run average cost
function.
b) Calculate the firm's short-run marginal cost function.
c) Graph the firm's short-run marginal and average (total, fixed, and variable) cost curves.
d) Where does the short-run marginal cost intersect the short-run total average cost? Explain
why this is so.
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