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%

Step-by-step 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

`\frac{\text{Selling price-cost}}{\text{cost}}*100\\\\=(4800-2112)/(4800)*100=56\%`

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