Use an inverse matrix to find the solution to the system.
-A trucking company has an order for two products, A and B, to be delivered to a store. The table below gives the volume and weight for each unit of the products. $$\begin{array} { l | c | c }
& \text { Product A } & \text { Product B } \
\hline \text { Unit Volume (cu ft) } & 47 & 68 \
\text { Unit Weight (lb) } & 351 & 376
\end{array}$$ If the truck that can deliver the products can carry 4501 cu ft and 28,077 lb, how many units of each product can the
Truck carry?
A) 35 of A and 42 of B
B) 33 of A and 44 of B
C) 42 of A and 35 of B
D) 37 of A and 40 of B

Question

Use an inverse matrix to find the solution to the system.
-A trucking company has an order for two products, A and B, to be delivered to a store. The table below gives the volume and weight for each unit of the products. $$\begin{array} { l | c | c } 
& \text { Product A } & \text { Product B } \
\hline \text { Unit Volume (cu ft) } & 47 & 68 \
\text { Unit Weight (lb) } & 351 & 376
\end{array}$$ If the truck that can deliver the products can carry 4501 cu ft and 28,077 lb, how many units of each product can the
Truck carry?
A) 35 of A and 42 of B
B) 33 of A and 44 of B
C) 42 of A and 35 of B
D) 37 of A and 40 of B

Quizplus · Accepted Answer

By setting up the equations based on volume and weight, and using the inverse matrix method, the solution is 35 units of Product A and 42 units of Product B.

Use an Inverse Matrix to Find the Solution to the System