Find the Matrix Product When Possible $30 \mathrm { gal }$

question 430

Multiple Choice

Find the matrix product when possible.
-Momma's ice cream shop sells three types of ice cream: soft-serve, chunky, and nonfat. Location I sells 10 gal of soft-serve, 100 gal of chunky, and $30 \mathrm { gal }$ of nonfat ice cream each day. Location II sells $14 \mathrm { gal }$ of soft-serve and Location III sells $60 \mathrm { gal }$ of soft-serve each day. Daily sales of chunky ice cream are $90 \mathrm { gal }$ at Location II and $120 \mathrm { gal }$ at Location III. At Location II, $17 \mathrm { gal }$ of nonfat are sold each day, and 40 gal of nonfat are sold 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.

• A)
• \[\left[ \begin{array} { r r c }
• 10 & 100 & 30 \\
• 14 & 90 & 17 \\
• 60 & 40 & 120
• \end{array} \right]\]
• B)
• \[\left[ \begin{array} { c c r }
• 10 & 14 & 60 \\
• 100 & 90 & 120 \\
• 30 & 17 & 40
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { r r r }
• 10 & 100 & 30 \\
• 14 & 90 & 17 \\
• 60 & 120 & 40
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { r r r }
• 10 & 90 & 30 \\
• 14 & 100 & 17 \\
• 60 & 120 & 40
• \end{array} \right]\]

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