Chapter 4.7, Problem 67SR

a.

To determine

To represent: $3\times 2$ matrix which represent the cost of each room as mentioned in the problem.

Answer to Problem 67SR

The matrix which represent the cost of each room is $A=\left[\begin{array}{cc}60& 79\\ 70& 89\\ 75& 95\end{array}\right]$ .

All the cost mentioned in the matrix is in dollar.

Explanation of Solution

Given information:

Types of room and cost are mentioned below.

  

Formula used:

For the matrix which represent the cost of a rooms of the hotel is the matrix $A$ .

For $3\times 2$ matrix no. of rows will represent room and no. of columns will represent the cost.

Calculation:

Consider the types of room and cost as mentioned below.

  

Recall that for $3\times 2$ matrix no. of rows will represent room and no. of columns will represent the cost.

Therefore the first row will represent the cost of single room.

Second row will represent the cost of double room.

Third row will represent the cost of suite.

Also,

First column will represent cost of room per weekday.

Second column will represent cost of room per weekend.

Recall that for the matrix which represent the cost of a rooms of the hotel is the matrix $A$ .

Therefore the matrix $A$ is $A=\left[\begin{array}{cc}60& 79\\ 70& 89\\ 75& 95\end{array}\right]$.

The cost mentioned in the above matrix is in dollar.

b.

To determine

To represent: $2\times 3$ matrix which represent the cost of each room as mentioned in the problem.

Answer to Problem 67SR

The matrix which represent the cost of each room is $B=\left[\begin{array}{ccc}60& 70& 75\\ 79& 89& 95\end{array}\right]$ .

All the cost mentioned in the matrix is in dollar.

Explanation of Solution

Given information:

Types of room and cost are mentioned below.

  

Formula used:

For the matrix which represent the cost of a rooms of the hotel is the matrix $B$ .

For $2\times 3$ matrix no. of rows will represent room and no. of columns will represent the cost.

Calculation:

Consider the types of room and cost as mentioned below.

  

Recall that for $2\times 3$ matrix no. of rows will represent room and no. of columns will represent the cost.

Therefore the first column will represent the cost of single room.

Second column will represent the cost of double room.

Third column will represent the cost of suite.

Also,

First row will represent cost of room per weekday.

Second row will represent cost of room per weekend.

Recall that for the matrix which represent the cost of a rooms of the hotel is the matrix $B$ .

Therefore the matrix $B$ is $B=\left[\begin{array}{ccc}60& 70& 75\\ 79& 89& 95\end{array}\right]$.

The cost mentioned in the above matrix is in dollar.