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.
$15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.

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.
$15.00 per backpack gives the maximum revenue; the maximum revenue is $20.00.

jonnyvonny · Answer

Are you in calculus, by chance?

anonymous · Answer

No @JonnyVonny

jonnyvonny · Answer

Mmk, in which case, sad to say, but I don't now how to solve it w/o it. xD