Solve the inequality.
-Behemoth Back Packs, Inc., finds that the cost to make $x$ back packs is $C=75 x+7059$, while the revenue produced from them is $\mathrm{R}=108 \mathrm{x}$ ( $\mathrm{C}$ and $\mathrm{R}$ are in dollars). What is the smallest whole number of back packs, $x$, that must be sold for the company to show a profit?
A) 232,947
B) $1,291,797$
C) 214
D) 39

Question

Quizplus · Accepted Answer

To find the smallest number of backpacks that must be sold for a profit, set the revenue greater than the cost: $108x > 75x + 7059$. Solving this inequality gives $33x > 7059$, so $x > 214$. Therefore, the smallest whole number of backpacks is 215.

Solve the Inequality xxx Back Packs Is C=75x+7059C=75 x+7059C=75x+7059 , While the Revenue Produced from Them Is

Solve the Inequality $x$ Back Packs Is $C=75 x+7059$ , While the Revenue Produced from Them Is