First Two Games of the Season A) $\left[ \begin{array} { l l } 5 & 62 \end{array} \right]$

question 109

Multiple Choice

first two games of the season. Write a matrix containing the total number of points and rebounds for each of the starting
five.
$$\begin{array}{l}\begin{array} { l | c | c } \text { Game } 1 & \text { Points } & \text { Rebounds } \\\hline \text { Levy } & 20 & 3 \\\text { Cowens } & 16 & 5 \\\text { Williams } & 8 & 12 \\\text { Miller } & 6 & 11 \\\text { Jenkins } & 10 & 2\end{array}\\\\\begin{array} { l | c | c } \text { Game } 2 & \text { Points } & \text { Rebounds } \\\hline \text { Levy } & 18 & 4 \\\text { Cowens } & 14 & 3 \\\text { Williams } & 12 & 9 \\\text { Miller } & 4 & 10 \\\text { Jenkins } & 10 & 3\end{array}\end{array}$$

A) $\left[ \begin{array} { l l } 5 & 62 \end{array} \right]$
В) $\left[ \begin{array} { r r } 7 & 38 \\ 30 & 8 \\ 21 & 20 \\ 21 & 10 \\ 5 & 20 \end{array} \right]$
C) $\left[ \begin{array} { r r } 38 & 7 \\ 30 & 8 \\ 20 & 21 \\ 10 & 21 \\ 20 & 5 \end{array} \right]$
D) $[ 625 ]$ Answer: C
-A bakery sells four main items: rolls, bread, cake, and pie. The amount of each of five ingredients (in cups, except for eggs) required to make a dozen rolls, a loaf of bread, a cake, or a pie is given by matrix A. The cost (in cents) per unit of ingredient when purchased in large lots or small lots is given in matrix B.
Use m Cost
Large Lot Small Lot
$\left[ \begin{array} { l } \text { Eggs } \\ \text { Flour } \\ \text { Sugar } \\ \text { Shortening } \\ \text { Milk } \end{array} \right] \left[ \begin{array} { l l } 4 & 5 \\ 7 & 10 \\ 12 & 12 \\ 15 & 16 \\ 4 & 6 \end{array} \right] = B$ atrix multiplication to find a matrix giving the comparative cost per item for the two purchase options. Give each Cost to the nearest cent.

• A) \(\left[ \begin{array} { l l } 5 & 62 \end{array} \right]\)
• В) \(\left[ \begin{array} { r r } 7 & 38 \\ 30 & 8 \\ 21 & 20 \\ 21 & 10 \\ 5 & 20 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r } 38 & 7 \\ 30 & 8 \\ 20 & 21 \\ 10 & 21 \\ 20 & 5 \end{array} \right]\)
• D) \([ 625 ]\) Answer: C
• -A bakery sells four main items: rolls, bread, cake, and pie. The amount of each of five ingredients (in cups, except for eggs) required to make a dozen rolls, a loaf of bread, a cake, or a pie is given by matrix A. The cost (in cents) per unit of ingredient when purchased in large lots or small lots is given in matrix B.
• Use m Cost
• Large Lot Small Lot
• \(\left[ \begin{array} { l } \text { Eggs } \\ \text { Flour } \\ \text { Sugar } \\ \text { Shortening } \\ \text { Milk } \end{array} \right] \left[ \begin{array} { l l } 4 & 5 \\ 7 & 10 \\ 12 & 12 \\ 15 & 16 \\ 4 & 6 \end{array} \right] = B\) atrix multiplication to find a matrix giving the comparative cost per item for the two purchase options. Give each Cost to the nearest cent.
• A) These matrices cannot be multiplied.
• B) \({ \left[ \begin{array} { l l } 41.75 & 53 \\ 28.75 & 40 \\ 82 & 101 \\ 24 & 31.33 \end{array} \right] }\)
• C) \(\left[ \begin{array} { l l } 43.75 & 53 \\ 0 & 0 \\ 83 & 101 \\ 0 & 0 \end{array} \right]\)
• D) \({ \left[ \begin{array} { l l } 40.75 & 53 \\ 28.75 & 39 \\ 83 & 101 \\ 24 & 30.33 \end{array} \right] }\)

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Definitions:

Production

The process of creating goods and services through the combination of labor, materials, and technology.

Direct Materials Cost

The cost of raw materials that can be directly traced to the production of goods, considered a variable cost in manufacturing.

Inventories

Assets held for sale, or in the process of being produced for sale, or to be used in the production process.

Overapplied Manufacturing Overhead

This occurs when the allocated manufacturing overhead cost is more than the actual manufacturing overhead costs incurred.