Suppose the production process for running shoes is given by q = 10KL where q is the number of pairs of running shoes produced, K is the number of machine hours of sewing and, L is the number of person-hours of labor. 1. Derive the cost-minimizing demands for K and L as a function of output (q), wage rates (w), and rental rate on machines (r). 2. Write the total cost function for running shoes as a function of q, r, and w. 3. Suppose the producer wants to make 2000 pairs of running shoes. If the current wage rate is $25 per hour and the rental rate on machines is $50 per hour, find the cost- minimizing combination of inputs to make the desired quantity.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Suppose the production process for running shoes is given by q = 10KL where q is the number of pairs of running shoes produced, K is the number of machine hours of sewing
and, L is the number of person-hours of labor.
1. Derive the cost-minimizing demands for K and L as a function of output (q), wage rates (w), and rental rate on machines (r).
2. Write the total cost function for running shoes as a function of q, r, and w.
3. Suppose the producer wants to make 2000 pairs of running shoes. If the current wage rate is $25 per hour and the rental rate on machines is $50 per hour, find the cost-
minimizing combination of inputs to make the desired quantity.
4. What is the total cost of production for 2000 units?
Transcribed Image Text:Suppose the production process for running shoes is given by q = 10KL where q is the number of pairs of running shoes produced, K is the number of machine hours of sewing and, L is the number of person-hours of labor. 1. Derive the cost-minimizing demands for K and L as a function of output (q), wage rates (w), and rental rate on machines (r). 2. Write the total cost function for running shoes as a function of q, r, and w. 3. Suppose the producer wants to make 2000 pairs of running shoes. If the current wage rate is $25 per hour and the rental rate on machines is $50 per hour, find the cost- minimizing combination of inputs to make the desired quantity. 4. What is the total cost of production for 2000 units?
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