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hram777 [196]
2 years ago
11

A firm has the following cost and marginal cost​ functions: Upper C left parenthesis q right parenthesis equals 64 plus q square

d and MC equals 2 q. What is the minimum efficient​ scale? The minimum efficient scale LOADING... occurs at nothing units of output ​(enter your response as a whole number​).
Business
1 answer:
velikii [3]2 years ago
8 0

Answer: Minimum efficient​ scale is 8 units.

Explanation:

Given that,

Cost function: C(q) = 64 + q^{2}

Marginal cost function: MC = 2q

Average cost: AC = \frac{C(q)}{q}

                             = \frac{64 + q^{2}}{q}

                             = \frac{64}{q} + q

The minimum efficient scale is at a point where MC = AC

2q =  \frac{64}{q} + q

q^{2} = 64\\q = \sqrt{64} \\q = 8

Therefore, minimum efficient​ scale is 8 units.

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