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)=45x; the dashed line represents the cost function, c(x)=4200 + 31x. how many hard drives must be produced and sold for the company to break even? the company must produce and sell hard drives to break even.

Explanation:

Step1: Set revenue equal to cost

$R(x)=C(x)$, so $45x = 4200+31x$.

Step2: Subtract 31x from both sides

$45x - 31x=4200+31x - 31x$, which simplifies to $14x = 4200$.

Step3: Solve for x

$x=\frac{4200}{14}=300$.

Answer:

300