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)=55x, the dashed line represents the cost function, c(x)=15,000 + 25x. use the formulas to find r(250)-c(250). describe what this means for the company. r(250)-c(250)= - 750 (type an integer or a decimal.) describe what this means for the company when the company produces and sells hard drives, the for the company is $

Explanation:

Step1: Calculate R(250)

Substitute \(x = 250\) into \(R(x)=55x\). So \(R(250)=55\times250 = 13750\).

Step2: Calculate C(250)

Substitute \(x = 250\) into \(C(x)=15000 + 25x\). So \(C(250)=15000+25\times250=15000 + 6250=21250\).

Step3: Calculate R(250)-C(250)

\(R(250)-C(250)=13750 - 21250=-7500\).

Answer:

When the company produces and sells 250 hard - drives, the profit (since negative, it's actually a loss) for the company is \(- 7500\) dollars. So the blanks should be filled as: 250, loss, 7500.