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 – 0.02x2. What is the percent markup for 31 stereos?

23%



127%



227%



278%

Answer 1

127% markup

Explanation:

So we need to plug in 31 into each

R(31)=160(31)=4960

C(31)=71(31)-.02(31)^2=2181.78

So the selling price is 4960 for 31 stereos.

The total cost for making 31 stereos is 2181.78.

So that is a markup for sure.

So you find the difference and then divide it by the total cost.

(4960-2181.78)/2181.78=1.27 approximately

so there is 127% markup