Question

the selling price of x number of a certain stereo can be modeled by the function R(x) =160x. the total cost of making x stereos is C(x)=71x-0.02x^2. what is the percent markup for 31 stereos?

Answer 1

Answer: 56%

Explanation:

Given : The  selling price of x number of a certain stereo can be modeled by the function :-

$R(x) =160x$

The total cost of making x stereos is :

$C(x)=71x-0.02x^2$

For 31 stereos, the total selling price would be :-

$R(30) =4800$

For 31 stereos, the total cost would be :-

$C(31)=71(30)-(0.02)(30)^2=2112$

Now, the percent markup will be

$\dfrac{\text{Selling price-cost}}{\text{cost}}\times100\\\\=\dfrac{4800-2112}{4800}\times100=56\%$

Hence, the percent markup for 31 stereos is 56%.