A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed & Weed, Winterizer Blend, and 17-17-17.The number of bags that were sold last weekend is represented by A. $$\begin{array} { l }
\text { Feed \& Weed } & \text { Winterizer } & 17 - 17 - 17 \
A=\left[\begin{array}{l}
17 \
20 \
17
\end{array}\right.&\begin{array}{l}
21 \
15 \
15
\end{array}&\left.\begin{array}{c}
24 \
26 \
28
\end{array}\right] \begin{array} {l }
\text {Friday }\
\text {Saturday }\
\text {Sunday }\
\end{array}
\end{array}$$ The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars). $B = \left[ \begin{array} { l l }
\text {Selling Price }& \text { Profit }\
11.50 & 1.20 \
13.25 & 1.50 \
8.25 & 0.70
\end{array} \right] \begin{array} { c } \
\text { Feed \& Weed } \
\text { Winterizer } \
17 - 17 - 17
\end{array}$ Compute AB and interpret the result.
A) Total Total
Revenue Profit
$$A B = \left[ \begin{array} { l l l }
17 & 21 & 24 \
20 & 15 & 26 \
17 & 15 & 28
\end{array} \right] \left[ \begin{array} { c c }
11.50 & 1.20 \
13.25 & 1.50 \
8.25 & 0.70
\end{array} \right] = \left[ \begin{array} { c c c }
671.75 & 68.70 \
643.25 & 64.70 \
625.25 & 62.50
\end{array} \right] \begin{array} { c }
\text { Friday } \
\text { Saturday } \
\text { Sunday }
\end{array}$$
B) Total Total
Revenue Profit
$$A B = \left[ \begin{array} { l l l }
17 & 21 & 24 \
20 & 15 & 26 \
17 & 15 & 28
\end{array} \right] \left[ \begin{array} { c c }
11.50 & 1.20 \
13.25 & 1.50 \
8.25 & 0.70
\end{array} \right] = \left[ \begin{array} { c c }
671.75 & 68.70 \
643.25 & 64.70 \
62.50 & 625.25
\end{array} \right] \begin{array} { c }
\text { Friday } \
\text { Saturday } \
\text { Sunday }
\end{array}$$
C) Total Total
Revenue Profit
$$A B = \left[ \begin{array} { l l l }
17 & 21 & 24 \
20 & 15 & 26 \
17 & 15 & 28
\end{array} \right] \left[ \begin{array} { c c }
11.50 & 1.20 \
13.25 & 1.50 \
8.25 & 0.70
\end{array} \right] = \left[ \begin{array} { c c }
68.70 & 671.75 \
643.25 & 64.70 \
625.25 & 62.50
\end{array} \right] \begin{array} { c }
\text { Friday } \
\text { Saturday } \
\text { Sunday }
\end{array}$$
D) Total Total
Revenue Profit
$$A B = \left[ \begin{array} { l l l }
17 & 21 & 24 \
20 & 15 & 26 \
17 & 15 & 28
\end{array} \right] \left[ \begin{array} { c c }
11.50 & 1.20 \
13.25 & 1.50 \
8.25 & 0.70
\end{array} \right] = \left[ \begin{array} { c c }
68.70 & 671.75 \
64.70 & 643.25 \
62.50 & 625.25
\end{array} \right] \begin{array} { c }
\text { Friday } \
\text { Saturday } \
\text { Sunday }
\end{array}$$
E) Total Total
Revenue Profit
$$A B = \left[ \begin{array} { l l l }
17 & 21 & 24 \
20 & 15 & 26 \
17 & 15 & 28
\end{array} \right] \left[ \begin{array} { c c }
11.50 & 1.20 \
13.25 & 1.50 \
8.25 & 0.70
\end{array} \right] = \left[ \begin{array} { c c }
671.75 & 68.70 \
64.70 & 643.25 \
625.25 & 62.50
\end{array} \right] \begin{array} { c }
\text { Friday } \
\text { Saturday } \
\text { Sunday }
\end{array}$$

Question

A lawn-and-garden store sells three types of fertilizer in 50-pound bags: Feed & Weed, Winterizer Blend, and 17-17-17.The number of bags that were sold last weekend is represented by A. $$\begin{array} { l } 
\text { Feed \& Weed } & \text { Winterizer } & 17 - 17 - 17 \
A=\left[\begin{array}{l}
17 \
20 \
17
\end{array}\right.&\begin{array}{l}
21 \
15 \
15
\end{array}&\left.\begin{array}{c}
24 \
26 \
28
\end{array}\right] \begin{array} {l } 
 \text {Friday }\
 \text {Saturday }\
 \text {Sunday }\
\end{array}
\end{array}$$ The selling price per bag and the profit per bag for the three types of fertilizer are represented by B (values are in dollars).   $B = \left[ \begin{array} { l l } 
 \text {Selling Price }& \text { Profit }\
11.50 & 1.20 \
13.25 & 1.50 \
8.25 & 0.70
\end{array} \right] \begin{array} { c } \
\text { Feed \& Weed } \
\text { Winterizer } \
17 - 17 - 17
\end{array}$ Compute AB and interpret the result.
A) Total Total
Revenue Profit
$$A B = \left[ \begin{array} { l l l } 
17 & 21 & 24 \
20 & 15 & 26 \
17 & 15 & 28
\end{array} \right] \left[ \begin{array} { c c } 
11.50 & 1.20 \
13.25 & 1.50 \
8.25 & 0.70
\end{array} \right] = \left[ \begin{array} { c c c } 
671.75 & 68.70 \
643.25 & 64.70 \
625.25 & 62.50
\end{array} \right] \begin{array} { c } 
\text { Friday } \
\text { Saturday } \
\text { Sunday }
\end{array}$$  
B) Total Total
Revenue Profit
$$A B = \left[ \begin{array} { l l l } 
17 & 21 & 24 \
20 & 15 & 26 \
17 & 15 & 28
\end{array} \right] \left[ \begin{array} { c c } 
11.50 & 1.20 \
13.25 & 1.50 \
8.25 & 0.70
\end{array} \right] = \left[ \begin{array} { c c } 
671.75 & 68.70 \
643.25 & 64.70 \
62.50 & 625.25
\end{array} \right] \begin{array} { c } 
\text { Friday } \
\text { Saturday } \
\text { Sunday }
\end{array}$$
C) Total Total
Revenue Profit
$$A B = \left[ \begin{array} { l l l } 
17 & 21 & 24 \
20 & 15 & 26 \
17 & 15 & 28
\end{array} \right] \left[ \begin{array} { c c } 
11.50 & 1.20 \
13.25 & 1.50 \
8.25 & 0.70
\end{array} \right] = \left[ \begin{array} { c c } 
68.70 & 671.75 \
643.25 & 64.70 \
625.25 & 62.50
\end{array} \right] \begin{array} { c } 
\text { Friday } \
\text { Saturday } \
\text { Sunday }
\end{array}$$
D) Total Total
Revenue Profit
$$A B = \left[ \begin{array} { l l l } 
17 & 21 & 24 \
20 & 15 & 26 \
17 & 15 & 28
\end{array} \right] \left[ \begin{array} { c c } 
11.50 & 1.20 \
13.25 & 1.50 \
8.25 & 0.70
\end{array} \right] = \left[ \begin{array} { c c } 
68.70 & 671.75 \
64.70 & 643.25 \
62.50 & 625.25
\end{array} \right] \begin{array} { c } 
\text { Friday } \
\text { Saturday } \
\text { Sunday }
\end{array}$$
E) Total Total
Revenue Profit
$$A B = \left[ \begin{array} { l l l } 
17 & 21 & 24 \
20 & 15 & 26 \
17 & 15 & 28
\end{array} \right] \left[ \begin{array} { c c } 
11.50 & 1.20 \
13.25 & 1.50 \
8.25 & 0.70
\end{array} \right] = \left[ \begin{array} { c c } 
671.75 & 68.70 \
64.70 & 643.25 \
625.25 & 62.50
\end{array} \right] \begin{array} { c } 
\text { Friday } \
\text { Saturday } \
\text { Sunday }
\end{array}$$

Quizplus · Accepted Answer

The matrix product AB calculates the total revenue and profit for each day by multiplying the number of bags sold by their respective selling prices and profits. The correct computation results in the matrix under option A, showing total revenue and profit for Friday, Saturday, and Sunday.

A Lawn-And-Garden Store Sells Three Types of Fertilizer in 50-Pound