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)=7600 + 26x. 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

Set $R(x)=C(x)$. So, $45x = 7600+26x$.

Step2: Isolate the variable x

Subtract $26x$ from both sides: $45x - 26x=7600$, which simplifies to $19x = 7600$.

Step3: Solve for x

Divide both sides by 19: $x=\frac{7600}{19}=400$.

Answer:

400