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profit-maximizing output rule

Need help in determining the following microeconomics problem.

(See attached file for full problem description)

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Profit-Maximizing Output Level
Consider a firm under Perfect Competition. The market price P = $25.
a. Fill in the table below.
b. State the profit-maximizing output rule. According to the table, at what output level does the firm maximum profit?
c. In this case, is there a specific unit of output for which the rule holds exactly? Carefully restate the rule, so that it appropriately reflects the information in the table.
Explain in one sentence the intuition behind your answer.
d. What can you add to the rule for a price-taker firm?
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Identify the profit-maximizing output rule.

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