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Given the data in the table below, what is the short-run profit-maximizing level of output for the perfectly competitive firm? Output Total Revenue Total Cost1 $4 $22 8 33 12 64 16 105 20 15Multiple Choice2 units3 units4 units5 units

Question

Given the data in the table below, what is the short-run profit-maximizing level of output for the perfectly competitive firm? Output Total Revenue Total Cost1 44 22 8 33 12 64 16 105 20 15Multiple Choice2 units3 units4 units5 units

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Solution

To find the short-run profit-maximizing level of output for a perfectly competitive firm, we need to find the level of output where the difference between Total Revenue (TR) and Total Cost (TC) is the greatest. This is also known as the level of output where profit is maximized.

Here's how to do it:

  1. Calculate the profit for each level of output. Profit = Total Revenue - Total Cost.

    For 1 unit: Profit = 44 - 2 = 2For2units:Profit=2 For 2 units: Profit = 8 - 3=3 = 5 For 3 units: Profit = 1212 - 6 = 6For4units:Profit=6 For 4 units: Profit = 16 - 10=10 = 6 For 5 units: Profit = 2020 - 15 = $5

  2. Compare the profit for each level of output. The level of output with the highest profit is the profit-maximizing level of output.

From the calculations, we can see that the profit is highest ($6) at both 3 units and 4 units of output. However, since the question asks for the short-run profit-maximizing level of output, we should choose the lower level of output to minimize costs. Therefore, the short-run profit-maximizing level of output for the perfectly competitive firm is 3 units.

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