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Table 7.1QuantityTotal Cost(dollars)Variable Cost(dollars)    0$1000    $0100  1360  360200  1560  560300  1960  960400  27601760500  40003000600  58004800 Table 7.1 shows the short-run cost data of a perfectly competitive firm that produces plastic camera cases. Assume that output can only be increased in batches of 100 units.Refer to Table 7.1. Suppose the fixed cost of production rises by $500 and the price per unit is still $8. What happens to the firm’s profit-maximising output level?Group of answer choicesIt must fall.It must rise to offset the increased cost.It will remain the same.The firm will shut down.

Question

Table 7.1QuantityTotal Cost(dollars)Variable Cost(dollars)    01000   1000    0100  1360  360200  1560  560300  1960  960400  27601760500  40003000600  58004800 Table 7.1 shows the short-run cost data of a perfectly competitive firm that produces plastic camera cases. Assume that output can only be increased in batches of 100 units.Refer to Table 7.1. Suppose the fixed cost of production rises by 500andthepriceperunitisstill500 and the price per unit is still 8. What happens to the firm’s profit-maximising output level?Group of answer choicesIt must fall.It must rise to offset the increased cost.It will remain the same.The firm will shut down.

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Solution

The profit-maximizing output level is determined by the point where marginal cost equals marginal revenue. In this case, the price per unit is given as $8, which is also the marginal revenue for a perfectly competitive firm.

To find the marginal cost, we need to calculate the change in total cost for each additional 100 units of output. From the table, we can see that the marginal cost for the first 100 units is 360,forthesecond100unitsis360, for the second 100 units is 200, for the third 100 units is 400,forthefourth100unitsis400, for the fourth 100 units is 800, and for the fifth 100 units is $1200.

Given the price of 8perunit,or8 per unit, or 800 per 100 units, the firm will maximize profit by producing up to the point where marginal cost is equal to or less than marginal revenue. This occurs at the production level of 300 units, where marginal cost is 400(or400 (or 4 per unit).

If the fixed cost of production rises by $500, this does not affect the marginal cost of production, which is based on variable costs only. Therefore, the profit-maximizing output level will remain the same.

So, the answer is: It will remain the same.

This problem has been solved

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