Chapter MPS, Problem 4.4MPS

a.

To determine

Organize the data in matrix

Answer to Problem 4.4MPS

  $\left[\begin{array}{cc}350& 280\\ 320& 165\\ 180& 120\end{array}\right]$

Explanation of Solution

Given information:

  $\begin{array}{ccc}Age& Baseball& Softball\\ 7-8& 350& 280\\ 9-10& 320& 165\\ 11-14& 180& 120\end{array}$

Calculation:

Consider the table

  $\begin{array}{ccc}Age& Baseball& Softball\\ 7-8& 350& 280\\ 9-10& 320& 165\\ 11-14& 180& 120\end{array}$

The cost of the registration fees for the ages $7-8is\$45.$

The cost of the registration fees for the ages $9-10is\$55.$

The cost of the registration fees for the ages $11-14is\$65.$

The matrix for the registration fees is as follows.

  $\left[\begin{array}{ccc}45& 55& 65\end{array}\right]$

The matrix for number of players is as follows.

  $\left[\begin{array}{cc}350& 280\\ 320& 165\\ 180& 120\end{array}\right]$

b.

To determine

Find the total amount of money.

Answer to Problem 4.4MPS

  $\left[45050 29475\right]$

Explanation of Solution

Given information:

  $\begin{array}{ccc}Age& Baseball& Softball\\ 7-8& 350& 280\\ 9-10& 320& 165\\ 11-14& 180& 120\end{array}$

Calculation:

Consider the table

  $\begin{array}{ccc}Age& Baseball& Softball\\ 7-8& 350& 280\\ 9-10& 320& 165\\ 11-14& 180& 120\end{array}$

The cost of the registration fees for the ages $7-8is\$45.$

The cost of the registration fees for the ages $9-10is\$55.$

The cost of the registration fees for the ages $11-14is\$65.$

The money is calculated below.

  $\begin{array}{l}\left[\begin{array}{ccc}45& 55& 65\end{array}\right]\times \left[\begin{array}{cc}350& 280\\ 320& 165\\ 180& 120\end{array}\right]\\ =\left[15750+17600+11700 12600+9075+7800 \right]\\ =\left[45050 29475\right]\end{array}$

Hence, the total amount is $\left[45050 29475\right]$ .