Le Boulangerie, a bakery, sells four main items: sweet rolls, bread, cakes, and pies. The amount of each ingredient (in cups, except for eggs) required for these items is given by matrix A. The cost (in cents) for each ingredient when purchased in large lots or small lots is given in matrix B.
Use matrix multiplication to find a matrix giving the comparative cost per bakery item for the two purchase options.
A) $$\left[ \begin{array} { l l } 33.75 & 43 \ 40.75 & 55 \ 86 & 106 \ 41 & 59.33 \end{array} \right]$$
B) $$\left[ \begin{array} { l l } 32.75 & 43 \ 40.75 & 54 \ 87 & 106 \ 41 & 55.33 \end{array} \right]$$
C) $$\left[ \begin{array} { l l } 35.75 & 43 \ 0 & 0 \ 87 & 106 \ 0 & 0 \end{array} \right]$$
D) These matrices cannot be multiplied.

Question

Le Boulangerie, a bakery, sells four main items: sweet rolls, bread, cakes, and pies. The amount of each ingredient (in cups, except for eggs) required for these items is given by matrix A.  The cost (in cents) for each ingredient when purchased in large lots or small lots is given in matrix B. 
 Use matrix multiplication to find a matrix giving the comparative cost per bakery item for the two purchase options. 
A) $$\left[ \begin{array} { l l } 33.75 & 43 \ 40.75 & 55 \ 86 & 106 \ 41 & 59.33 \end{array} \right]$$ 
B) $$\left[ \begin{array} { l l } 32.75 & 43 \ 40.75 & 54 \ 87 & 106 \ 41 & 55.33 \end{array} \right]$$ 
C) $$\left[ \begin{array} { l l } 35.75 & 43 \ 0 & 0 \ 87 & 106 \ 0 & 0 \end{array} \right]$$ 
D) These matrices cannot be multiplied.

Quizplus · Accepted Answer

The Answer of Le Boulangerie, a bakery, sells four main items: sweet rolls, bread, cakes, and pies. The amount of each ingredient (in cups, except for eggs) required for these items is given by matrix A.  The cost (in cents) for each ingredient when purchased in large lots or small lots is given in matrix B. 
 Use matrix multiplication to find a matrix giving the comparative cost per bakery item for the two purchase options. 
A) $$\left[ \begin{array} { l l } 33.75 & 43 \ 40.75 & 55 \ 86 & 106 \ 41 & 59.33 \end{array} \right]$$ 
B) $$\left[ \begin{array} { l l } 32.75 & 43 \ 40.75 & 54 \ 87 & 106 \ 41 & 55.33 \end{array} \right]$$ 
C) $$\left[ \begin{array} { l l } 35.75 & 43 \ 0 & 0 \ 87 & 106 \ 0 & 0 \end{array} \right]$$ 
D) These matrices cannot be multiplied.

Le Boulangerie, a Bakery, Sells Four Main Items: Sweet Rolls [33.754340.7555861064159.33]\left[ \begin{array} { l l } 33.75 & 43 \\40.75 & 55 \\86 & 106 \\41 & 59.33\end{array} \right]​33.7540.758641​435510659.33​​

Le Boulangerie, a Bakery, Sells Four Main Items: Sweet Rolls $\left[ \begin{array} { l l } 33.75 & 43 \\40.75 & 55 \\86 & 106 \\41 & 59.33\end{array} \right]$