The cost for a company to produce x t-shirts can be modeled byC(x) = 21x-98 and the revenue for selling these shirts can be modeled byR(x) = 55 x-2x. Which function represents the company's total profit afterselling x shirts? (Recall that profit equals revenue minus cost.)

Answer:P(x)=-2x^2+34x+98The cost function is given by c(x)=21x-98And the revenue function is given by  r(x)=55x-2x^2The profit function is the difference of revenue function and the cost function. Mathematically, we can writep(x)=r(x)-c(x)Substituting the values, we getp(x)=55x-2x^2-(21x-98)p(x)=-2x^2 + 34x = 98Therefore, the profit function isp(x) = -2x^2 + 34x + 98 Step-by-step explanation: