Question

A company sells widgets. The company’s fixed and variable cost are modeled by the function C(x)=0.92x+85000. It’s revenue is modeled by the function R(x)=5.6x.

How many widgets does the company have to sell to break even? Round your answer to the nearest whole number, if needed.

Answer 1

Answer:

18162 widgets

Step-by-step explanation:

Given

$C(x)=0.92x+85000$

$R(x)=5.6x.$

Required

Determine the price at break even point

At breakeven point, the following relationship exists

$Rx = C(x)$

Substitute values for R(x) and C(x)

$5.6x = 0.92x +85000$

Collect Like Terms

$5.6x - 0.92x =85000$

$4.68x =85000$

Make x the subject

$x = \frac{85000}{4.68}$

$x = 18162.3931624$

$x = 18162$ --- Approximated