Chapter 2.3, Problem 81E

(a)

To determine

The matrix T that represents the time taken by every step-in making backpacks.

(b)

To determine

The matrix S that represents the sale prices of the huge one and smaller regular Joe backpack made by the company.

(c)

To determine

The matrix A whose multiplication with matrix T gives the total time required in the construction of order of $27$ huge one backpacks and $56$ regular Joe backpacks and the multiplication of matrix A with matrix S gives the total revenue for the order. $$

Where,

$S=\left[\begin{array}{c}32\\ 24\end{array}\right]\begin{array}{c}\text{Huge one}\\ \text{Regular Joe}\end{array}$ $\begin{array}{l}\begin{array}{ccc}\text{ Cutting}& \text{Sewing}& \text{Finishing}\end{array}\\ T=\left[\begin{array}{ccc}2& \text{ 3}& \text{ 2}\\ 1.5& \text{ 2}& \text{ 1}\end{array}\right]\begin{array}{c}\text{Huge one}\\ \text{Regular JOE}\end{array}\end{array}$

(d)

To determine

To calculate: The total time required in sewing the order of $27$ huge one and $56$ regular Joe backpack.

(e)

To determine

To calculate: The total revenue generated from the order of $27$ huge one and $56$ regular Joe backpack.