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.)

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

p (x) = - 2x²+34x+98

Step-by-step explanation:

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