find the marginal revenue function. r(x)=x(17 - 0.09x) r(x)=

Explanation:

Step1: Expand the revenue function

$R(x)=x(17 - 0.09x)=17x-0.09x^{2}$

Step2: Differentiate using power - rule

The power - rule states that if $y = ax^{n}$, then $y^\prime=anx^{n - 1}$. For $y = 17x$, $y^\prime=17$ (since $n = 1$ and $a = 17$, $1\times17x^{1 - 1}=17$). For $y=-0.09x^{2}$, $y^\prime=-0.09\times2x=-0.18x$ (since $n = 2$ and $a=-0.09$). So, $R^\prime(x)=17-0.18x$

Answer:

$17 - 0.18x$