marcia has just opened her new computer store. she makes $27 on every computer she sells and her monthly…

marcia has just opened her new computer store. she makes $27 on every computer she sells and her monthly expenses are $10,000. what is the minimum number of computers she needs to sell in a month to make a profit?

marcia has just opened her new computer store. she makes $27 on every computer she sells and her monthly expenses are $10,000. what is the minimum number of computers she needs to sell in a month to make a profit?

Answer

Explanation:

Step1: Set up profit - making inequality

Let the number of computers sold be $x$. The profit $P$ is given by the revenue minus the expenses. The revenue from selling $x$ computers is $27x$ and the expenses are $10000$. To make a profit, $27x- 10000>0$.

Step2: Solve the inequality for $x$

Add $10000$ to both sides of the inequality: $27x>10000$. Then divide both sides by $27$: $x >\frac{10000}{27}\approx370.37$.

Step3: Determine the minimum number of computers

Since the number of computers $x$ must be a whole number, and $x>370.37$, the minimum value of $x$ is $371$.

Answer:

$371$