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Use an Inverse Matrix to Find the Solution to the System

Question 114

Multiple Choice

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.  Product A  Product B  Unit Volume (cu ft)  4768 Unit Weight (lb)  351376\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

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