sarah is the president of the drama club and wants to publish a newspaper. expenses are $.90 for printing…

sarah is the president of the drama club and wants to publish a newspaper. expenses are $.90 for printing and mailing each copy, plus $600 total for research and writing. the price of the newsletter is $1.50 per copy. how many copies of the newsletter must the club sell to break even? a. to break even, the drama club must sell 1000 copies. b. to break even, the drama club must sell 100 copies. c. to break even, the drama club must sell 250 copies. d. to break even, the drama club must sell 444 copies. please select the best answer from the choices provided o a o b o c o d

sarah is the president of the drama club and wants to publish a newspaper. expenses are $.90 for printing and mailing each copy, plus $600 total for research and writing. the price of the newsletter is $1.50 per copy. how many copies of the newsletter must the club sell to break even? a. to break even, the drama club must sell 1000 copies. b. to break even, the drama club must sell 100 copies. c. to break even, the drama club must sell 250 copies. d. to break even, the drama club must sell 444 copies. please select the best answer from the choices provided o a o b o c o d

Answer

Explanation:

Step1: Set up cost - revenue equations

Let $x$ be the number of copies. Cost $C = 0.9x+600$, Revenue $R = 1.5x$.

Step2: Set cost equal to revenue for break - even

$0.9x + 600=1.5x$.

Step3: Solve for $x$

Subtract $0.9x$ from both sides: $600=1.5x - 0.9x$. $600 = 0.6x$. Then $x=\frac{600}{0.6}=1000$.

Answer:

A. To break even, the drama club must sell 1000 copies.