Solve the problem.
-The manager of a CD store has found that if the price of a CD is $p(x)=61-\frac{x}{6}$, then $x C D$ will be sold. An expression for the total revenue from the sale of $\mathrm{x} \mathrm{CDs}$ is
$$R(x)=61 x-\frac{x^{2}}{6}$$
Find the number of CDs that will produce maximum revenue.
A) 223
B) 163
C) 183
D) 366

Question

Quizplus · Accepted Answer

To find the number of CDs that will produce maximum revenue, we need to find the vertex of the quadratic function $R(x)=61x-\frac{x^2}{6}$. The vertex form for a quadratic $ax^2 + bx + c$ is at $x = -\frac{b}{2a}$. Here, $a = -\frac{1}{6}$ and $b = 61$. So, $x = -\frac{61}{2(-\frac{1}{6})} = 183$.

Solve the Problem p(x)=61−x6p(x)=61-\frac{x}{6}p(x)=61−6x​ , Then xCDx C DxCD Will Be Sold xCDs\mathrm{x} \mathrm{CDs}xCDs

Solve the Problem $p(x)=61-\frac{x}{6}$ , Then $x C D$ Will Be Sold $\mathrm{x} \mathrm{CDs}$