A manufacturer of tennis rackets finds that the total cost (in dollars) of manufacturing rackets/day is given by . Each racket can be sold at a price of dollars, where is related to by the demand equation . If all rackets that are manufactured can be sold, find the daily level of production that will yield a maximum profit for the manufacturer.

A) 5,000 rackets/day
B) 4,000 rackets/day
C) 7,000 rackets/day
D) 6,000 rackets/day

Question

A manufacturer of tennis rackets finds that the total cost  (in dollars) of manufacturing  rackets/day is given by  . Each racket can be sold at a price of  dollars, where  is related to  by the demand equation  . ​ If all rackets that are manufactured can be sold, find the daily level of production that will yield a maximum profit for the manufacturer.
​
A) 5,000 rackets/day 
B) 4,000 rackets/day 
C) 7,000 rackets/day 
D) 6,000 rackets/day

Quizplus · Accepted Answer

The Answer of A manufacturer of tennis rackets finds that the total cost  (in dollars) of manufacturing  rackets/day is given by  . Each racket can be sold at a price of  dollars, where  is related to  by the demand equation  . ​ If all rackets that are manufactured can be sold, find the daily level of production that will yield a maximum profit for the manufacturer.
​
A) 5,000 rackets/day 
B) 4,000 rackets/day 
C) 7,000 rackets/day 
D) 6,000 rackets/day

A Manufacturer of Tennis Rackets Finds That the Total Cost