Home > PC3 > Chapter 9 > Lesson 9.1.2 > Problem9-27

9-27.

Abe, Barbara, and Cassie work at Budding Success Flower Shop. Each day, they plan to make bouquets in three styles in the quantities indicated by matrix $E$, an employees-by-bouquet styles matrix, shown below.

$\qquad \qquad \qquad \;\, \text{Bouquet Styles}\\ \qquad \qquad \;\; \begin{array}{c c c c c} & & \#1 & \#2 & \#3 \end{array} \\ \text{Employees} \; \begin{array}{c} \text{A} \\ \text{B} \\ \text{C} \end{array} \;\left[ \; \begin{array}{c c c} 6 \;\; & 4 \; \; & 7 \\ 4 \;\; & 8 \;\; & 5 \\ 5 \;\; & 6 \;\; & 6 \end{array} \; \right]$

1. How many #2 bouquets will Cassie make each day?

Look at the row for Cassie and the column for bouquet style #2.

2. Who makes the most bouquets?

Abe makes $6 + 4 + 7 = 17$ bouquets.
How many bouquets do Barbara and Cassie each make?

3. Write a matrix that shows how many bouquet styles each worker makes in one full work week (Monday through Friday).

Since there are five days in a workweek, multiply the given matrix by $5$.

4. Represent your answer to part (c) in terms of $E$.