Please help fast

Question

6.) The revenue, R(x), of producing and selling x

Awesome Hearing Aids is modeled by the function

R(x)=−2x^2+115x

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

The revenue is at a maximum after_______ hearing aids are produced and sold.

What is the revenue? (Round answer to the nearest cent.)

The maximum revenue is $ _______.

9.) A rocket is launched at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t^2+220t+311.

At what time does the rocket reach its maximum height? (Round your answer to 2 decimal places.)

The rocket reaches its maximum height after _____ seconds.

At what height does the rocket reach its maximum height above the water? (Round your answer to 2 decimal places.)

The rocket reaches its maximum height at ______ meters above sea-level.

10.) The cost, C(x), of producing x

Totally Cool Coolers is modeled by the function

C(x)=0.005x^2−0.5x+23

How many coolers need to be produced and sold in order to minimize the cost? (Round to the nearest whole number.)

The cost is at a minimum after _____ coolers are produced and sold.

What is the cost? (Round answer to the nearest cent.)

The minimum cost is $ _____ .

Answer 1

the max value occurs at x=-B/(2a)

R(x)= -x(2x-115) with A=-2 and B=115

max revenue at x =-b/(2a) = -115/(-4) = 115/4 = 28.75

max revenue is -28.75( 2 * 28.75 - 115) = 1653.125