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Question

Let the production function of a firm be Q = 2L2 K2.

Find out the maximum possible output that the firm can produce with 5 units of L and 2 units of K. What is the maximum possible output that the firm can produce with zero unit of L and 10 units of K?

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Solution

a) Q = 2L2 K2 (1)

L = 5 units of labour

K = 2 units of capital

Putting these values in equation (1)

Q = 2 (5)2(2)2

= 2 (25) (4)

Q = 200 units

b) If L = 0 units and K = 100 units

Putting these values in equation (1)

Q = 2 (0)2 (100)2

Q = 0 units


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