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

question 16

Essay

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.
$\quad\quad\quad\quad\quad\text { Machine }$
$\begin{array}{l|l|l|l|l|l}\hline \text { Tob } & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } \\1 & 27 & 29 & 28 & 30 & 40 \\2 & 30 & 32 & 31 & 34 & 46 \\3 & 33 & 25 & 29 & 26 & 37 \\4 & 29 & 31 & 24 & 28 & 28\end{array}$

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Definitions:

Adaptation

Adaptation refers to the process by which organisms adjust to changes in their environment, or the modifications made by humans to ideas, objects, or practices in response to new conditions.

Kentucky

A state located in the central-eastern United States, known for its horse racing, bourbon distilleries, coal mining, and bluegrass music.

Virginia Resolutions

Statements drafted by James Madison and Thomas Jefferson in 1798 that argued states could nullify federal laws considered unconstitutional.

Constitutionality

The quality of being in accordance with a country's constitution or being permissible under its constitutional law.