Chapter 4.3, Problem 45PPS

(a)

To determine

To find: Thecost of each package

Answer to Problem 45PPS

The cost of each package is $A:\$421,B:\$274,C:\$150,D:\$68$

Explanation of Solution

Given:

The data is given as,

  

Calculation:

The total cost is calculates as,

  $\begin{array}{c}C=\left[\begin{array}{cccccc}7& 10& 14& 45& 95& 13\end{array}\right]\left[\begin{array}{cccc}10& 10& 8& 0\\ 4& 4& 4& 4\\ 2& 2& 2& 2\\ 1& 1& 0& 0\\ 1& 0& 0& 0\\ \frac{88}{8}& \frac{56}{8}& \frac{16}{8}& \frac{0}{8}\end{array}\right]\\ =\left[\begin{array}{cccccc}7& 10& 14& 45& 95& 13\end{array}\right]\left[\begin{array}{cccc}10& 10& 8& 0\\ 4& 4& 4& 4\\ 2& 2& 2& 2\\ 1& 1& 0& 0\\ 1& 0& 0& 0\\ 11& 7& 2& 0\end{array}\right]\\ =\left[\begin{array}{cccc}421& 274& 150& 68\end{array}\right]\end{array}$

Thus, the cost of each package is $A:\$421,B:\$274,C:\$150,D:\$68$

(b)

To determine

To find: The early bird price for each package.

Answer to Problem 45PPS

The early bird price for each package is $A:\$357.85,B:\$232.90,C:\$127.5,D:\$57.80$

Explanation of Solution

Given:

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

Calculation:

Calculate the early bird price,

  $\begin{array}{c}P=\left[\begin{array}{cccc}421& 274& 150& 68\end{array}\right]-0.15\left[\begin{array}{cccc}421& 274& 150& 68\end{array}\right]\\ =\left[\begin{array}{cccc}421& 274& 150& 68\end{array}\right]-\left[\begin{array}{cccc}63.15& 41.1& 22.5& 10.2\end{array}\right]\\ =\left[\begin{array}{cccc}357.85& 232.90& 127.5& 57.80\end{array}\right]\end{array}$

Thus, the early bird price for each package is $A:\$357.85,B:\$232.90,C:\$127.5,D:\$57.80$