Mathematics, 27.06.2019 22:50 discolldiane7351
Total profit is defined as total revenue, r(x), minus total cost, c(x), and is given by the function p(x) = r(x) - c(x). given r(x) = 58x -0.4x^2and c(x) = 2x + 14, find each of the following. a) p(x) b) r(80), c(80), and p(80) p(x)= (type in descending powers of x.)
Answers: 2
![\bf \begin{cases} R(x)=58x-0.4x^2\\ C(x)=2x+14 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ P(x)\implies \stackrel{revenue}{R(x)}-\stackrel{costs}{C(x)}\implies (58x-0.4x^2)-(2x+14) \\\\\\ (58x-0.4x^2)-2x-14\implies 58x-0.4x^2-2x-14 \\\\\\ 56x-0.4x^2-14\implies \boxed{-0.4x^2+56x-14} \\\\[-0.35em] ~\dotfill](/tpl/images/0024/9651/e3713.png)
![\bf R(80)\implies 58(80)-0.4(80)^2\implies R(80)=4640-2560\implies \boxed{R(80)=2080} \\\\[-0.35em] ~\dotfill\\\\ C(80)=2(80)+14\implies C(80)=160+14\implies \boxed{C(80)=174} \\\\[-0.35em] ~\dotfill\\\\ P(80)=-0.4(80)^2+56(80)-14 \\\\\\ P(80)=-2560+4480-14\implies \boxed{P(80)=1906}](/tpl/images/0024/9651/4db8d.png)
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Total profit is defined as total revenue, r(x), minus total cost, c(x), and is given by the function...
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