Chapter 4.3, Problem 35PPS

(a)

To determine

To find: The sale associate which earned the more money.

Answer to Problem 35PPS

The sale associate which earned the more money is $53000 by Westin.

Explanation of Solution

Given:

Each sale associates get the bonus of $100 for new car and $500 for old car.

Calculation:

The matrix is as follows:

  $\begin{array}{l}C=\left[\begin{array}{l}2749\\ 3536\\ 956\\ 1562\end{array}\right]\\ B=\left[\begin{array}{l}1000\\ 500\end{array}\right]\end{array}$

Here, C is the car and B is bonus

Calculate the amount by matrix multiplication.

  $\begin{array}{c}CB=\left[\begin{array}{l}2749\\ 3536\\ 956\\ 1562\end{array}\right]\left[\begin{array}{l}1000\\ 500\end{array}\right]\\ =\left[\begin{array}{l}27\left(1000\right)+49\left(500\right)\\ 35\left(1000\right)+36\left(500\right)\\ 9\left(1000\right)+56\left(500\right)\\ 15\left(1000\right)+62\left(500\right)\end{array}\right]\\ =\left[\begin{array}{c}51500\\ 53000\\ 37000\\ 47000\end{array}\right]\end{array}$

Thus, the sale associate which earned the more money is $53000 by Westin.

(b)

To determine

To find: The total amount of money.

Answer to Problem 35PPS

The total amount of money is $187500

Explanation of Solution

Given:

Each sale associates get the bonus of $100 for new car and $500 for old car.

Calculation:

From above,

  $CB=\left[\begin{array}{c}51500\\ 53000\\ 37000\\ 47000\end{array}\right]$

Calculate the total money,

  $51500+53000+37000+47000=\$187500$

Thus, the total amount of money is $187500