Solve the problem.
-A retailer knows that $\mathrm { n }$ games can be sold in a month if the price is $30 - 0.2 \mathrm { n }$ dollars per game. If he buys each game for $\$ 14$, and if he wishes to make a profit of at least $\$ 300$ per month on sales of this game, how many games must he sell each month?
A) $30 \leq n \leq 80$
B) $30 \leq \mathrm { n } \leq 50$
C) $25 \leq \mathrm { n } \leq 40$
D) $25 \leq \mathrm { n } \leq 30$

Question

Quizplus · Accepted Answer

To find the number of games, set up the profit equation: Profit = Revenue - Cost. Revenue is $n(30 - 0.2n)$ and Cost is $14n$. Set the profit equation $n(30 - 0.2n) - 14n \geq 300$ and solve for $n$. The solution is $30 \leq n \leq 50$.

Solve the Problem n\mathrm { n }n Games Can Be Sold in a Month If the Price

Solve the Problem $\mathrm { n }$ Games Can Be Sold in a Month If the Price