Question

the figure shows the graphs of the cost and revenue functions for a company that manufactures and sells external hard drives. the solid line represents the revenue function, r(x)=35x, the dashed line represents the cost function, c(x)=5000 + 25x. how many hard drives must be produced and sold for the company to break even?

Explanation:

Step1: Set revenue equal to cost.

$R(x)=C(x)$
$35x = 5000+25x$

Step2: Subtract 25x from both sides.

$35x-25x=5000 + 25x-25x$
$10x=5000$

Step3: Solve for x.

$x=\frac{5000}{10}$
$x = 500$

Answer:

500