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The function f(x) = 3x + 5,000 represents the amount of money a cell phone screen is being sold for, where x is the number of screens being manufactured.

The function g(x) = 20x − 400 represents the cost of production, where x is the number of screens being manufactured.

What is (f − g)(200)? Explain.

$2,000 is the profit made from 200 cell phone screens.
$9,200 is the profit made from 200 cell phone screens.
$2,000 is the cost of manufacturing 200 cell phone screens.
$9,200 is the cost of manufacturing 200 cell phone screens.

Respuesta :

lotspeichskyler

answer:

$2000 is the profit made from manufacturing 200 screens

Step-by step:

given: (f-g)(200), x=200

to find the answer, first replace x in the equations given:

f(200)=3(200)+5000

f(200)=5600

g(200)=20(200)-400

g(200)=3600

then subtract plug your answers into (f-g)(200):

5600-3600=2000

$2,000 is the profit made from 200 cell phone screens. Then the correct option is A.

What is a profit?

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running or creating anything.

The function f(x) = 3x + 5,000 represents the amount of money a cell phone screen is being sold for, where x is the number of screens being manufactured.

The function g(x) = 20x − 400 represents the cost of production, where x is the number of screens being manufactured.

Then the value of the function (f – g)(200) will be

(f – g)(x) = f(x) – g(x)

(f – g)(x) = 3x + 5000 – (20x – 400)

(f – g)(x) = –17x + 5400

At x = 200, the value of the function will be

(f – g)(200) = –17(200) + 5400

(f – g)(200) = $2,000

Then the correct option is A.

More about the profit is given below.

https://brainly.com/question/15036999

#SPJ5

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