Machines A, B, C, and D Have Been in Use $\quad\quad\quad\quad\quad\text { Machine }$

Machines A, B, C, and D have been in use for several years, while machine E is new. The following table provides data on the value of production of each job when performed on a specific machine.
a. Determine the set of assignments that maximizes production value.
b. What is the total production value of your assignments?
c. Which machine should be retired (i.e., gets no assignment)?
d. If they do retire one machine, will they be as profitable without it as with it?
Explain.
$\quad\quad\quad\quad\quad\text { Machine }$
$\begin{array}{l|l|l|l|l|l}\hline \text { Tob } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\1 & 27 & 29 & 28 & 30 & 40 \\2 & 30 & 32 & 31 & 34 & 46 \\3 & 33 & 25 & 29 & 26 & 37 \\4 & 29 & 31 & 24 & 28 & 28\end{array}$