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NARA
1 month ago
8

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 mc023-1.jpg number of backpacks.) $9.00 per backpack gives the maximum revenue; the maximum revenue is $32.00. $12.00 per backpack gives the maximum revenue; the maximum revenue is $312.00. $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.
Mathematics
2 answers:
babunello [11.8K]1 month ago
8 0
Revenue = price * quantity of backpacks
quantity of backpacks = -2p + 50

For p = 9: -2(9) + 50 = -18 + 50 = 32
thus, revenue = 9 * 32 = 288

For p = 12: -2(12) + 50 = -24 + 50 = 26
therefore, revenue = 12 * 26 = 312

For p = 12.50: -2(12.50) + 50 = -25 + 50 = 25
thus, revenue = 12.50 * 25 = 312.50   MAXIMIZES REVENUE

For p = 15: -2(15) + 50 = -30 + 50 = 20
so, revenue = 15 * 20 = 300
Leona [12.6K]1 month ago
3 0

Response:

It's C on Edge

Step-by-step explanation:

$12.50 each and a maximum of $312.50

I took the test and answered correctly.

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