Question

Do not show work. It is not needed. I just need the answers

Answer 1

The first table shows the number of each item that was ordered by each family. The second table shows the cost of each item. For instance, the total cost of appetizer for Kelly's family is 2 x 11 = 22

For Dale's family, it is 1 x 11 = 11

We would show this total cost by using matrix multiplication as shown below.

`\begin{gathered} \begin{bmatrix}{2} & {4} & {2} \\ {1} & {3} & {1} \\ {3} & {2} & {2}\end{bmatrix}\begin{bmatrix}{11} & {} & {} \\ {17} & {} & {} \\ {8} & & \end{bmatrix} \\ \end{gathered}`

By applying matrix multiplication,

Total cost of dinner for Kelly's family is

2 x 11 + 4 x 17 + 2 x 8 = 22 + 68 + 16 = 106

Total cost of dinner for Dale's family is

1 x 11 + 3 x 17 + 1 x 8 = 11 + 51 + 8 = 70

Total cost of dinner for Jan's family is

3 x 11 + 2 x 17 + 2 x 8 = 22 + 34 + 16 = 72

The total costs are

Kelly's family = $106

Dale's family = $70

Jan's family = $72