SOLUTION: 12. A tool rental company determines that it will rent 500 jackhammers per day at a daily rental fee of $30 per jackhammer. For each $1 increase in rental price, 10 fewer jackhamme

Question 1140883: 12. A tool rental company determines that it will rent 500 jackhammers per day at a daily rental fee of $30 per jackhammer. For each $1 increase in rental price, 10 fewer jackhammers will be rented. What rental price maximizes revenue?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
the revenue function is (500-10x)(30+x)=15000-300x+500x-10x^2
=-10x^2+200x-15000
this has a maximum at x=-b/2a=-200/-20 or 10
when the price is $40, the number is 400, and the revenue is $16,000
check with $41 and 390 ($15,990) and 39 and 410 (same)

RELATED QUESTIONS
A car rental company charges a daily rental fee plus a per mile fee over 150 miles. Two... (answered by kac123kac,josmiceli)

1. A tool rental company charges a basic fee to rent tools. An additional amount is... (answered by Abbey)

The Chan's family are on needs of renting a truck and their budget is $85 for the rental... (answered by Ddoodlebug)

The bargain car rental company charges a flat fee of $35 plus $0.40 per mile to rent a... (answered by fractalier,stanbon)

Jay has lost his mother�s favorite necklace, so he will rent a metal detector to try to... (answered by ewatrrr,checkley79)

Twice last month, Julie rented a car at Rent-it car rental in CA and traveled around the... (answered by Boreal)

A rental car company now charges 15 percent more to rent a car it now costs 40.25 per day (answered by richwmiller)

A rental company charges a daily rate of $32.00 plus $0.40 per mile for a certain car?... (answered by Fombitz)

A salesman rents a car for two trips from the same rental company. The rental company... (answered by stanbon)