Solve Problems Involving Systems Without Unique Solutions
-A Company That

Solve Problems Involving Systems Without Unique Solutions
-A company that manufactures products A, B, and C does both assembly and testing. The hours needed to assemble and test each product are shown in the table below. $\begin{array}{l|cc} & \begin{array}{l}\text { Hours needed } \\\text { weekly to assemble }\end{array} & \begin{array}{c}\text { Hours needed } \\\text { weekly to test }\end{array} \\\hline \text { Product A } & 1 & 4 \\\text { Product B } & 1 & 5 \\\text { Product C } & 2 & 10\end{array}$

The company has exactly 27 hours per week available for assembly and 120 hours per week available for testing. If the company must produce $t$ units of Product $C$ this week, how many units of Products $A$ and $B$ can they produce?

A) 15 of Product A; $- 2 t + 12$ of Product B
B) 15 t of Product A; $2 t + 12$ of Product $B$
C) $t + 15$ of Product $A ; t + 12$ of Product $B$
D) 15 of Product A; 12 of Product B