Question

Can someone please help me?

Answer 1

An electronics manufacturer recently created a new version of a popular device. It also created this function to represent the profit, P(x), in tens of thousands of dollars, that the company will earn based on manufacturing x thousand devices: P(x) = -0.16x2 + 21.6x – 400.

a. The profit function for the first version of the device was very similar to the profit function for the new version. As a matter of fact, the profit function for the first version is a transformation of the profit function for the new version. For the value x = 40, the original profit function is half the size of the new profit function. Write two function transformations in terms of P(x) that could represent the original profit function.

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b. Write the two possible functions from part a in simplified form.

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c. Which of the two possible functions would represent a better situation for the company at the time the original version was released? Explain.

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d. After a natural disaster, the company decided to give 2,000 of the new devices to organizations to use in auctions or raffles to raise money to help those affected. In terms of function transformations and P(x), write a function that would represent the new profit function based on this.

Answer 2

@Serenity74

Answer 3

I'm so lost

Answer 4

@Thesmartone

Answer 5

Lets say previous function was P1(x) and new function is P2(x).....so we get an equation as
P1(x=40)=1/2*(P2(x=40)
Hence

P2(40)=2*P1(40)