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. $$\begin{array} { l | c | c } & \text { Product A } & \text { Product B } \\\hline \text { Unit Volume (cu ft) } & 47 & 68 \\\text { Unit Weight (lb) } & 351 & 376\end{array}$$ 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

---

Definitions:

Direct Materials

Raw materials that are directly identifiable and assignable to the production of goods.

Factory Overhead

All expenses related to production that aren't direct materials or direct labor costs.

Per-Unit Cost

The cost associated with producing or acquiring a single unit of product.

Finished Goods Account

An inventory account that holds the value of products that are completed and ready for sale.