Question

The revenue, R(x), of producing and selling x Awesome Hearing Aids is modeled by the function: R(x) = -3x^2 +53x

a. How many hearing aids need to be produced and sold in order to maximize the revenue? Round to the nearest whole number. ______ hearing aids must be produced and sold to maximize revenue.

b. What is the revenue? Use the fraction from (a) then round answer to the nearest dollar. The maximum revenue is $ ________.

Answer 1

9 ; $234

Explanation:

the maximum revenue is the vertex of the parabola

a) -53/(2*-3)

-53/-6

53/6

8.833333

9

b

-3(53/6)^2 + 53(53/6)

-3(2809/36) + 2809/6

-2809/12 + 2809/6

(-2809 + 5618)/12

2809/12

234.083333

234