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)=38x ); the dashed line represents the cost function, ( c(x)=2800 + 31x ). how many hard drives must be produced and sold for the company to break even?

Explanation:

Step1: Set revenue equal to cost

To break - even, \(R(x)=C(x)\). So, \(38x = 2800+31x\).

Step2: Solve for \(x\)

Subtract \(31x\) from both sides: \(38x - 31x=2800+31x - 31x\).
\(7x = 2800\).
Divide both sides by \(7\): \(x=\frac{2800}{7}\).

Answer:

\(400\)