Question

The cost for a company to produce x t-shirts can be modeled by C(x)=21x-98 and the revenue for selling these shirts can be modeled by r(x)=55x-2^2. Which function represents the company's total profit after selling x shirts?
A. P(x)=2x^2-34x+98
B. P(x)=-2x^2-34x+98
C. P(x)=-2x^2+34x+98
D. P(x)=2x^2+34x-98

Answer 1

Answer:

$P(x)=-2x^2+34x+98$

Step-by-step explanation:

The cost function is given by $c(x)=21x-98$

And the revenue function is given by  $r(x)=55x-2x^2$

The profit function is the difference of revenue function and the cost function. Mathematically, we can write

$P(x)=r(x)-c(x)$

Substituting the values, we get

$P(x)=55x-2x^2-(21x-98)\\\\P(x)=-2x^2+34x+98$

Therefore, the profit function is

$P(x)=-2x^2+34x+98$

C is the correct option.

Answer 2

Answer:

The Answer is C

Step-by-step explanation:

It's C for Apex