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) = 55 x-2x. Which function represents the company's total profit after
selling x shirts? (Recall that profit equals revenue minus cost.)

Answer 1

p(x)= -2x²+34x+98

Explanation:

apexs

Answer 2

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

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

Explanation: