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An electronics store chain sells headphones. The company is about to introduce a new headphone model that is expected to sell very well
across its various stores. These are the projected revenue and cost functions for the headphones:
R(x) = -210x2 + 6,970x
C(x) = -170x + 39,690
Which two statements are true?
The maximum profit is $57,834.
The maximum profit is $21,000.
O
A selling price of $27 results in the maximum profit.
A selling price of $17 results in the maximum profit.
A selling price of $16.60 results in the maximum profit.

Respuesta :

Answer:

A selling price of $17 results in the maximum profit.

The maximum profit is $21,000.

Step-by-step explanation:

raphealnwobi

The maximum profit is $21000 with a selling price of $17

Profit

Profit is the money gained from selling a product. It is the difference between revenue and cost.

Profit (P) = Revenue - Cost

P = R(x) - C(x)

P = -210x² + 6970x - (-170x + 39690)

P = -210x² + 7140x - 39690

The maximum profit is at P' = 0, hence:

P' = -420x + 7140

0 = -420x + 7140

x = 17

P(17) =  -210(17)² + 7140(17) - 39690 = 21000

The maximum profit is $21000 with a selling price of $17

find out more on Profit at: https://brainly.com/question/1078746

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