A manufacturer of tennis rackets makes a profit of $14 on each oversized racket and $8 on each standard racket. To meet dealer demand, daily production of standard rackets should be between 25 and 77, and production of oversized rackets should be between 10 and 30. To maintain high quality, the total number of rackets produced should not exceed 77 per day. How many of each type should be manufactured daily to maximize the profit?

Question

Quizplus · Accepted Answer

To maximize profit, the manufacturer should produce the maximum number of the most profitable item (oversized rackets at $14 profit each) without exceeding production limits. The maximum for oversized rackets is 30. The remaining capacity (77 total - 30 oversized = 47) should be used for standard rackets. This combination maximizes profit within the given constraints.

A Manufacturer of Tennis Rackets Makes a Profit of $14