I have to solve this problem please help me

Question

A company's revenue earned by selling x items is given by the function R(X)=8X,and their cost is given by the function C(X)=+x^2+24

A.Write a function P(X) that represents the company's profit from selling x items

B.solve the quadratic equation P(x)=0to find the minimum and maximum (horizontal intercepts ) number of iterms that can be sold that will result in the company breaking even.

Answer 1

Profit = Revenue - Cost

 

Therefore, P(x) = R(x) - C(x) = 8x - (x² + 24) = -x² + 8x - 24

 

-x² + 8x - 24 = 0     Divide both sides of this equation by -1.

 

x² - 8x + 24 = 0

 

You can use the Quadratic Formula to solve this quadratic equation.