A Furniture Company Produces Tables and Chairs $x$ And $y$ Be the Number of Tables and Chairs Produced Per Day

Multiple Choice

A furniture company produces tables and chairs. Each table requires 2.5 hours in the assembly center and 1.75 hours in the finishing center. Each chair requires 1 hour in the assembly center and 1.25 hours in the finishing center. The company's assembly center is available 16 hours per day, and its finishing center is available 12 hours per day. Let $x$ and $y$ be the number of tables and chairs produced per day, respectively. Find a system of inequalities describing all possible production levels.

A) $\left\{ \begin{aligned}x + 1.25 y & \leq 16 \\2.5 x + 1.75 y & \leq 12 \\x & \geq 0 \\y & \geq 0\end{aligned} \right.$
B) $\left\{ \begin{aligned}1.75 x + 1.25 y & \leq 16 \\2.5 x + y & \leq 12 \\x & \geq 0 \\y & \geq 0\end{aligned} \right.$
C) $\left\{ \begin{aligned}2.5 x + 1.25 y & \leq 16 \\x + 1.75 y & \leq 12 \\x & \geq 0 \\y & \geq 0\end{aligned} \right.$
D) $\left\{ \begin{aligned}2.5 x + 1.75 y & \leq 16 \\x + 1.25 y & \leq 12 \\x & \geq 0 \\y & \geq 0\end{aligned} \right.$
E) $\left\{ \begin{aligned}2.5 x + y & \leq 16 \\1.75 x + 1.25 y & \leq 12 \\x & \geq 0 \\y & \geq 0\end{aligned} \right.$