Question

A store uses the expression –2p + 50 to model the number of backpacks it sells per day, where the price, p, can be anywhere from $9 to $15. Which price gives the store the maximum amount of revenue, and what is the maximum revenue?

(Revenue = price x number of backpacks.)

A. $9.00 per backpack gives the maximum revenue; the maximum revenue is $32.00.
B. $12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00.
C. $12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.
D. $15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.

Answer 1

$12.50 per backpack gives the maximum revenue; the maximum revenue is $312.50.

Explanation:

It's c, i got it right on edge

Answer 2

Letter C has the highest revenue so we will just have to check if it is correct.

-2(12.50)+50 = 25
Revenue = price x number of backpacks
Revenue = 25 x $12.50
Revenue = $312.50

So, letter C is the correct answer.