4 of 18 17% complete 00:31:55 time remaining review passage the revenue (r) from the number of sales (x) of…

4 of 18 17% complete 00:31:55 time remaining review passage the revenue (r) from the number of sales (x) of a certain videogame is described by the function: r(x)= - 0.14x² + 420x question what is the maximum revenue? select a single answer 1,500 315,000 15,000 31,500

4 of 18 17% complete 00:31:55 time remaining review passage the revenue (r) from the number of sales (x) of a certain videogame is described by the function: r(x)= - 0.14x² + 420x question what is the maximum revenue? select a single answer 1,500 315,000 15,000 31,500

Answer

Explanation:

Step1: Identify the coefficients

The revenue function is $R(x)=- 0.14x^{2}+420x$, where $a=-0.14$ and $b = 420$.

Step2: Find the x - value of the vertex

The x - value of the vertex of a quadratic function $y = ax^{2}+bx + c$ is $x=-\frac{b}{2a}$. So, $x=-\frac{420}{2\times(-0.14)}=\frac{420}{0.28}=1500$.

Step3: Find the maximum revenue

Substitute $x = 1500$ into the revenue function $R(x)$. $R(1500)=-0.14\times(1500)^{2}+420\times1500=-0.14\times2250000 + 630000=-315000+630000 = 315000$.

Answer:

315,000