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)=50x, the dashed line represents the cost function, c(x)=15,000 + 20x. use the formulas to find r(150)-c(150). describe what this means for the company. r(150)-c(150)= (type an integer or a decimal).

Explanation:

Step1: Calculate R(150)

Substitute x = 150 into R(x)=50x. So, R(150)=50×150 = 7500.

Step2: Calculate C(150)

Substitute x = 150 into C(x)=15000 + 20x. So, C(150)=15000+20×150=15000 + 3000=18000.

Step3: Calculate R(150)-C(150)

R(150)-C(150)=7500 - 18000=- 10500.

Answer:

-10500

This means that when the company produces and sells 150 external - hard drives, the company has a loss of $10500. The cost of producing 150 hard - drives exceeds the revenue generated from selling them by $10500.