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

question 283

Multiple Choice

Find the matrix product when possible.
-Mike's Bait Shop sells three types of lures: discount, normal, and professional. Location I sells 38 discount lures, 100 regular lures, and 30 professional lures each day. Location II sells 35 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, 35 expert lures are sold each day, and 40 expert lures 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)
• \(\left[\begin{array}{rrr}
• 38 & 100 & 30 \\
• 35 & 90 & 35 \\
• 60 & 120 & 40
• \end{array}\right]\)
• B)
• \(\left[\begin{array}{ccc}
• 38 & 100 & 30 \\
• 35 & 35 & 90 \\
• 60 & 120 & 40
• \end{array}\right]\)
• C)
• \(\left[\begin{array}{crr}
• 100 & 38 & 30 \\
• 35 & 90 & 35 \\
• 60 & 120 & 40
• \end{array}\right]\)
• D)
• \(\left[\begin{array}{rrr}
• 38 & 100 & 35 \\
• 35 & 90 & 30 \\
• 60 & 120 & 40
• \end{array}\right]\)

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Definitions:

Antidiuretic Hormone

A hormone that helps to control the balance of water in the body by reducing the amount of urine produced by the kidneys.

Posterior Pituitary

The rear part of the pituitary gland that stores and releases hormones like antidiuretic hormone (ADH) and oxytocin, received from the hypothalamus.

Oxytocin

A hormone that plays a role in social bonding, sexual reproduction, childbirth, and the period after childbirth.

Blood Sugar

The concentration of glucose in the blood, an important indicator of metabolic health and diabetes management.