Solve the Problem A Compute P - C and Interpret Its Meaning

question 152

Multiple Choice

Solve the problem.
-In matrix C, a coffee shop records the cost to produce a cup of coffee and the cost to produce a cup of hot chocolate. Matrix P contains the selling prices to the customer. $\begin{array} { c } \text { coffee chocolate } \\C = \left[ \begin{array} { l l } \$ 0.93 & \$ 0.86 \\\$ 1.21 & \$ 1.11 \\\$ 1.51 & \$ 1.41\end{array} \right] \text { Small Large } \quad \text { coffee chocolate } \\\text { Medium } ; P = \left[ \begin{array} { l l } \$ 3.00 & \$ 2.40 \\\$ 3.75 & \$ 3.15 \\\$ 4.40 & \$ 3.90\end{array} \right] \text { Sedium } \\\text { Large }\end{array}$
a. Compute P - C and interpret its meaning.
b.If the tax rate in a certain city is 6%, use scalar multiplication to find a matrix F that gives the final Price to the customer (including sales tax) for both beverages for each size. Round each entry to the Nearest cent.

• A) a. \(P - C = \left[ \begin{array} { l l } \$ 2.07 & \$ 1.54 \\ \$ 2.54 & \$ 2.04 \\ \$ 2.89 & \$ 2.49 \end{array} \right]\)
• ; this represents the profit that the store makes for both beverages for । size.
• b. \(F = \left[ \begin{array} { l l } \$ 0.18 & \$ 0.14 \\ \$ 0.23 & \$ 0.19 \\ \$ 0.26 & \$ 0.23 \end{array} \right]\)
• B) a. \(P - C = \left[ \begin{array} { l l } \$ 2.07 & \$ 1.54 \\ \$ 2.54 & \$ 2.04 \\ \$ 2.89 & \$ 2.49 \end{array} \right]\)
• ; this represents the profit that the store makes for both beverages for ।
• size.
• b. \(F = \left[ \begin{array} { l l } \$ 2.19 & \$ 1.63 \\ \$ 2.69 & \$ 2.16 \\ \$ 3.06 & \$ 2.64 \end{array} \right]\)
• C) a. \(P - C = \left[ \begin{array} { l l } \$ 2.07 & \$ 1.54 \\ \$ 2.54 & \$ 2.04 \\ \$ 2.89 & \$ 2.49 \end{array} \right]\)
• ; this represents the profit that the store makes for both beverages for । size.
• b. \(F = \left[ \begin{array} { l l } \$ 3.18 & \$ 2.54 \\ \$ 3.98 & \$ 3.34 \\ \$ 4.66 & \$ 4.13 \end{array} \right]\)
• D) a. \(P - C = \left[ \begin{array} { l l } \$ 3.93 & \$ 3.26 \\ \$ 4.96 & \$ 4.26 \\ \$ 5.91 & \$ 5.31 \end{array} \right]\)
• ; this represents the profit that the store makes for both beverages for । size.
• b. \(F = \left[ \begin{array} { l l } \$ 3.18 & \$ 2.54 \\ \$ 3.98 & \$ 3.34 \\ \$ 4.66 & \$ 4.13 \end{array} \right]\)

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