Q30.

Question

For exercises 30-32, use the following information. The Cookie Cutter Bakery records each type of cookie sold at three of their branch stores. Two days of sales are shown in the spreadsheets below.

30. Write a matrix for each day’s sales.

Step-by-Step Solution

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Answer

The matrix for each day’s sales are:

$\begin{array}{l} \begin{matrix} \begin{array}{l} Chocolate peanut sugar cut- \\ chip butter out \end{array} \end{matrix} \\ A = \begin{matrix} store 1 \\ store 2 \\ store 3 \end{matrix} [\begin{matrix} 120 & 97 & 64 & 75 \\ 80 & 59 & 36 & 60 \\ 72 & 84 & 29 & 48 \end{matrix}] \end{array}$ and

$\begin{array}{l} \begin{matrix} \begin{array}{l} Chocolate peanut sugar cut- \\ chip butter out \end{array} \end{matrix} \\ B = \begin{matrix} store 1 \\ store 2 \\ store 3 \end{matrix} [\begin{matrix} 112 & 87 & 56 & 74 \\ 84 & 65 & 39 & 70 \\ 88 & 98 & 43 & 60 \end{matrix}] \end{array}$ .

1Step 1 - Define the concept of organizing data in matrix

A matrix is a rectangular array of variables or constants in horizontal rows and vertical columns, usually enclosed in brackets. Data is organized in such a way that each position has a purpose. Each value of the matrix is called an element.

2Step 2 - Write the matrix depicting Friday’s sales

The data in the table can be organized in two matrices. Let the first matrix representing the Friday’s sale be A. Then,