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)=37x, the dashed line represents the cost function, c(x)=1800 + 31x. 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 \( 37x = 1800+31x \).

Step2: Solve for \( x \)

Subtract \( 31x \) from both sides: \( 37x-31x=1800+31x - 31x \), which gives \( 6x=1800 \).
Then divide both sides by 6: \( x=\frac{1800}{6} \).

Answer:

\( 300 \)