Joe's coffee shop has the production function, q= 4k0.5 L0.5. If the price of labor, L, is 5 and the price of a machine, K, is 20, then, to minimize the cost of producing q=200 cups of coffee: a) Joe will employ L*= _________ workers. b) Joe will use K*= _________ machines. c) The total cost will be _________.
Joe's coffee shop has the production function, q= 4k0.5 L0.5. If the price of labor, L, is 5 and the price of a machine, K, is 20, then, to minimize the cost of producing q=200 cups of coffee: a) Joe will employ L*= _________ workers. b) Joe will use K*= _________ machines. c) The total cost will be _________.
Chapter10: Cost Functions
Section: Chapter Questions
Problem 10.6P
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Joe's coffee shop has the production function, q= 4k0.5 L0.5. If the price of labor, L, is 5 and the price of a machine, K, is 20, then, to minimize the cost of producing q=200 cups of coffee:
a) Joe will employ L*= _________ workers.
b) Joe will use K*= _________ machines.
c) The total cost will be _________.
d) Doubling the amount of output will require _________ the cost.
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