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) = 43x ), the dashed line represents the cost function, ( c(x) = 7500 + 28x ). how many hard drives must be produced and sold for the company to break even? the company must produce and sell ( square ) hard drives to break even.

Explanation:

Step1: Set revenue equal to cost

To break - even, \(R(x)=C(x)\). So, \(43x = 7500+28x\).

Step2: Solve for \(x\)

Subtract \(28x\) from both sides: \(43x−28x=7500 + 28x−28x\).
This gives \(15x=7500\).
Then divide both sides by \(15\): \(x=\frac{7500}{15}\).

Answer:

\(500\)