Chapter MPS, Problem 3.7MPS

a.

To determine

To find:The system of equation for the given data.

Answer to Problem 3.7MPS

The system of equation for the given datais $x+y+z=38.1,x=0.1+y+z,z-y=10.2$ .

Explanation of Solution

Given information: The data is shown below.

  

Calculation:

The system of equation is,

  $\begin{array}{l}x+y+z=38.1\\ x=0.1+y+z\\ z-y=10.2\end{array}$

b.

To determine

To find: The number of package shipped in each weight category.

Answer to Problem 3.7MPS

The number of package shipped in each weight categoryis $19,8.8,10.1$ .

Explanation of Solution

Given information: The data is shown below.

  

Calculation:

The system of equation is,

  $\begin{array}{l}x+y+z=38.1\\ x=0.1+y+z\\ z-y=10.2\end{array}$

Equate second and third equation.

  $\begin{array}{l}10.2y=0.1+y+z\\ 10.2-1=z\\ z=10.1\end{array}$

Add first and second equation.

  $\begin{array}{l}\underset{\_}{\begin{array}{l}x+y+x=38.1\\ x-y-x=0.1\end{array}}\\ 2x=38\\ x=19\end{array}$

Substitute the above equation in the third equation.

  $\begin{array}{l}x-y=10.2\\ 19-y=10.2\\ y=8.8\end{array}$