ANSWER
A.
[tex]P(x)=6x^2 +75x +200[/tex]
EXPLANATION
The given revenue function is:
[tex]R(x)=6x^2 +100x+300[/tex]
The cost function is
[tex]C(x)=25x+100[/tex]
The profit function can be obtained by subtracting the cost function from the revenue function.
[tex]P(x)=R(x)-C(x)[/tex]
This implies that:
[tex]P(x)=6x^2 +100x+300 - (25x + 100)[/tex]
Expand the parenthesis to get:
[tex]P(x)=6x^2 +100x+300 - 25x - 100[/tex]
Group similar terms:
[tex]P(x)=6x^2 +100x - 25x - 100+300[/tex]
Combine the similar terms to get:
[tex]P(x)=6x^2 +75x +200[/tex]
The cot answer is A
