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:
#LearnwithBrainly