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)?
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.
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