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.

Question

Mathematics

Mohammed Levine

31 August, 14:53

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.

+3

Answers (1)

Know the Answer?

Phoenix Foley · Answer 1

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.