Solve Problems Involving Systems Without Unique Solutions
Solve the Problem $t$

Solve Problems Involving Systems Without Unique Solutions
Solve the problem using matrices.
-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.

The company has exactly 24 hours per week available for assembly and 109 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) 11 of Product A; $- 2 t + 13$ of Product B
B) 11t of Product A; 2t $+ 13$ of Product B
C) $t + 11$ of Product $A ; t + 13$ of Product $B$
D) 11 of Product $A ; 13$ of Product $B$