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If a firm’s marginal cost is MC = 4 +4q and market price is $8, what is the profit maximising level of output (assuming the firm produces a positive quantity)?

Question

If a firm’s marginal cost is MC = 4 +4q and market price is $8, what is the profit maximising level of output (assuming the firm produces a positive quantity)?

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Solution

To find the profit-maximizing level of output, we need to set the marginal cost (MC) equal to the market price and solve for q.

The marginal cost equation is MC = 4 + 4q.

The market price is given as $8.

Setting MC equal to the market price gives us:

4 + 4q = 8

To solve for q, we first subtract 4 from both sides of the equation:

4q = 8 - 4

4q = 4

Then, we divide both sides of the equation by 4 to isolate q:

q = 4/4

q = 1

So, the profit-maximizing level of output (assuming the firm produces a positive quantity) is 1 unit.

This problem has been solved

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