Down and Out Co. operates an executive placement service for corporate executives displaced by corporate restructuring. Its monthly total cost of cases is given by TC = 25 Q 1/2 + 2,500; the average cost at a caseload of 25 attempted placements per month is:

The average cost at a caseload of 25 attempted placements per month is 105.

Explanation:

The total cost function given in the question first correctly stated as follows:

TC = 25Q^1/2 + 2,500 (1)

A caseload of 25 attempted placements implies that:

Q = 25

Substitute Q = 25 into equation (1), we have:

TC = (25 * 25^(1/2)) + 2,500 = 2,625

The average cost (AC) can now be calculated as follows:

AC = TC / Q = 2,625 / 25 = 105

Therefore, the average cost at a caseload of 25 attempted placements per month is 105.