Final answer:
The correct answer to the student's question is that Reff Corp.'s output is 200 units, and the total fixed cost is $200. This is determined by the conditions of the firm being in long-run equilibrium and the relationships between total revenue, marginal cost, average variable cost, and total fixed cost.
Step-by-step explanation:
The student is asking how to calculate the output and total fixed cost of production for Reff Corp., which is a perfectly competitive firm in long-run equilibrium. To determine the correct answer, we need to consider the information given that Reff Corp. has a total revenue of $1,000 and is operating where marginal cost (MC) equals marginal revenue (MR). The average variable cost (AVC) is $4, and since the company is in long-run equilibrium, the price is equal to the average cost (AC), which includes average variable cost and average fixed cost (AFC).
Given that the marginal cost is $5 per unit, this means the firm also sells each unit at $5 in long-run equilibrium (since P = MR = MC). If we divide the total revenue by the price per unit, we get the output.
Thus, the output is $1,000 / $5 = 200 units. To find the total fixed cost (TFC), we calculate the total cost (TC) which is the sum of total variable cost (TVC) and TFC. Since TVC can be found by multiplying the output by the AVC (200 units × $4), we get $800. Subtracting TVC from TR gives us the TFC: $1,000 - $800 = $200.
Therefore, the correct answer is: Output, 200. Fixed Cost, $200.