Problema Solution

A company that manufactures chairs has a fixed cost of $742,500. It costs $23 to produce each chair. The selling price is $78 per chair. Write the cost function, the revenue function, and determine the break-even point.

Answer provided by our tutors

The cost function is:


C(x) = 742,500 + 23x


The revenue function is:


R(x) = 78x


Break-event point happens when:


C(x) = R(x)


742500 + 23x = 78x

........


click here to see all the equation solution steps


........

x = 13,500 chairs


The break-even point is x = 13,500.