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) = 49x, the dashed line represents the cost function, c(x) = 3600 + 37x. how many hard drives must be produced and sold for the company to break even? the company must produce and sell \square hard drives to break even

Explanation:

Step1: Set revenue equal to cost

To break even, \( R(x) = C(x) \). So we set \( 49x = 3600 + 37x \).

Step2: Solve for x

Subtract \( 37x \) from both sides: \( 49x - 37x = 3600 + 37x - 37x \), which simplifies to \( 12x = 3600 \). Then divide both sides by 12: \( x = \frac{3600}{12} \).

Step3: Calculate the value of x

\( \frac{3600}{12} = 300 \).

Answer:

300