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)=42x, the dashed line represents the cost function, c(x)=2700 + 33x. 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 cost equal to revenue

At the break - even point, $C(x)=R(x)$. So we set up the equation $2700 + 33x=42x$.

Step2: Isolate the variable $x$

Subtract $33x$ from both sides of the equation: $2700=42x - 33x$.

Step3: Simplify the right - hand side

$42x-33x = 9x$, so the equation becomes $2700 = 9x$.

Step4: Solve for $x$

Divide both sides by 9: $x=\frac{2700}{9}=300$.

Answer:

300