A manufacturer of tennis rackets makes a profit of $15 on each oversized racket and $10 on each standard racket. To meet dealer demand, daily production of standard rackets should be between 25 and 75, and production of oversized rackets should be between 8 and 27. To maintain high quality, the total number of rackets produced should not exceed 75 per day. How many of each type should be manufactured daily to maximize the profit?

Question

Quizplus · Accepted Answer

Producing 48 standard and 27 oversized rackets maximizes profit while satisfying all constraints: 48 + 27 = 75 rackets, which is the maximum allowed, and both are within their respective production limits.

A Manufacturer of Tennis Rackets Makes a Profit of $15