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You have a start-up company that develops and sells a gaming app for smartphones. You need to analyze your companys financial performance by understanding your

You have a start-up company that develops and sells a gaming app for smartphones. You need to analyze your companys financial performance by understanding your cost, revenue, and profit (in U.S. dollars).

The monthly cost function of developing your app is as follows:

Cx=3x+h

where

Cx is the cost

x is the number of app downloads

$3 is the variable cost per gaming app download

h is the fixed cost

The monthly revenue function, based on previous monthly sales, is modeled by the following function:

Rx=-0.4x2+360x , 0x600

The monthly profit function (in U.S. dollars), Px, is derived by subtracting the cost from the revenue, that is

Px=Rx-Cx

  1. Based on the first letter of your last name, choose a value for your fixed cost, h.

First letter of your

last name

Possible values for h

AF

$4,0004,500

GL

$4,5015,000

MR

$5,0015,500

SZ

$5,501$6,000

Use your chosen value for h to write your cost function, C(x) .

Then, use Px=Rx-Cx to write your simplified profit function.

(20 points)

Chosen h

Cost function C(x)

Final answer for P(x)

Show your work below:

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