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)=15000 + 20x. use the formulas to find r(150)-c(150). describe what this means for the company. r(150)-c(150)=-10500 (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: Find R(150)

Given $R(x) = 50x$, substitute $x = 150$. So $R(150)=50\times150 = 7500$.

Step2: Find C(150)

Given $C(x)=15000 + 20x$, substitute $x = 150$. So $C(150)=15000+20\times150=15000 + 3000=18000$.

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

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

Answer:

$R(150)-C(150)=-10500$. When the company produces and sells 150 hard - drives, the profit for the company is -$10500$, which means the company has a loss of $10500$.