Mandy owns a small coffee shop. Her production function is q=2K0.5L where q is the number of cups of coffee produces, K is the number of coffee machines, and L is the number of employees. If K=10 and L=20, the marginal rate of technical substitution is: 1 MLP= 2K0.5 MLK = L/K0.5 MRTS= 2K/L = 2(10)/20 =1 MRTS = w/r Starting from 10 machines and 20 employees, if Joe hires one more employee, then he can use ______ fewer machine(s) and still produce the same quantity of coffee. 1 fewer machine

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Can you please check my answers for the following question?

Mandy owns a small coffee shop. Her production function is q=2K0.5L where q is the number of cups of coffee produces, K is the number of coffee machines, and L is the number of employees.

If K=10 and L=20, the marginal rate of technical substitution is: 1

MLP= 2K0.5

MLK = L/K0.5

MRTS= 2K/L = 2(10)/20 =1

MRTS = w/r

Starting from 10 machines and 20 employees, if Joe hires one more employee, then he can use ______ fewer machine(s) and still produce the same quantity of coffee.

1 fewer machine

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