Select the correct answer.
The revenue function of a company that sells gaming consoles is R(x) = 6x2 + 100x + 300. The cost function is CX) = 25x + 100. Which function
describes the profit function of the company?
A. PX) = 6x2 + 75x + 200
B. Pax) = 100x2 - 6x2
oc. P(x) = 75x² - 6x²
D. PlX= 6x + 200

Respuesta :

Option A: 6x^2+75x+200 is the correct answer

Step-by-step explanation:

The profit is obtained by subtracting the cost from the revenue.

Given

[tex]R(x) = 6x^2+100x+300\\C(x) = 25x+100[/tex]

The Profit function will be obtained by subtracting the cost function from the revenue function

So,

[tex]P(x) = R(x) - C(x)\\= (6x^2+100x+300)-(25x+100)\\=6x^2+100x+300-25x-100\\=6x^2+100x-25x+300-100\\P(x)=6x^2+75x+200[/tex]

Hence,

Option A: 6x^2+75x+200 is the correct answer

Keywords: Functions, function operations

Learn more about functions at:

  • brainly.com/question/982457
  • brainly.com/question/9817377

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