Find the Matrix Product When Possible $3 \times 3$ Matrix That Shows the Sales Figures for the Three Locations

question 400

Multiple Choice

Find the matrix product when possible.
-Mike's Bait Shop sells three types of lures: discount, normal, and professional. Location I sells 14 discount lures, 100 regular lures, and 30 professional lures each day. Location II sells 18 discount lures and Location III sells 60 discount lures each day. Daily sales of regular lures are 90 at Location II and 120 at Location III. At Location II, 37 expert lures are sold each day, and 40 expert lures are so each day at Location III.

Write a $3 \times 3$ matrix that shows the sales figures for the three locations, with the rows representing the three locations. The incomes per lure for discount, normal, and professional lures are $\$ 5 , \$ 7$ , and $\$ 20$ , respectively. Write a $3 \times 1$ matrix displaying the incomes. Find a matrix product that gives the daily income at each of the three locations.

• A)
• \[\left[ \begin{array} { l }
• 1300 \\
• 3530 \\
• 1209
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { l }
• 1370 \\
• 3530 \\
• 1209
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { l }
• 1370 \\
• 1460 \\
• 1940
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { l }
• 1370 \\
• 2900 \\
• 1209
• \end{array} \right]\]

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Definitions:

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A historic architectural marvel in Istanbul, Turkey, originally built as a Christian cathedral, then converted into a mosque, and now a museum, exemplifying Byzantine architecture.

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