Mark's coffee shop has the production function, q=4K0.5L0.5. 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 _________.

Principles of Economics (MindTap Course List)
8th Edition
ISBN:9781305585126
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter18: The Markets For The Factor Of Production
Section: Chapter Questions
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Mark's coffee shop has the production function, q=4K0.5L0.5. 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 _________.

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