the figure on the right shows the graphs of the cost and revenue functions for a company that manufactures…

the figure on the right shows the graphs of the cost and revenue functions for a company that manufactures and sells small radios. more than how many radios must be produced and sold for the company to have a profit? the company needs to produce and sell more than radios to have a profit. (type a whole number.)

the figure on the right shows the graphs of the cost and revenue functions for a company that manufactures and sells small radios. more than how many radios must be produced and sold for the company to have a profit? the company needs to produce and sell more than radios to have a profit. (type a whole number.)

Answer

Explanation:

Step1: Recall profit - revenue - cost formula

Profit $P(x)=R(x)-C(x)$. The company makes a profit when $P(x)>0$, i.e., $R(x)>C(x)$.

Step2: Set up the inequality

We have $R(x) = 45x$ and $C(x)=10000 + 25x$. Set $R(x)>C(x)$: $45x>10000 + 25x$.

Step3: Solve the inequality for $x$

Subtract $25x$ from both sides: $45x-25x>10000+25x - 25x$. $20x>10000$. Divide both sides by 20: $x>\frac{10000}{20}$. $x > 500$.

Answer:

501