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:

Social Structures

The complex framework of societal institutions (such as laws, the economy, and social norms) and the relationships among those institutions that determine the pattern of human interaction.

Race

A social construct used to categorize humans based on physical and ancestral characteristics, influencing identities and social positions.

Attribute

A quality or characteristic belonging to a person, thing, or group.

Individuals

Single human beings, as distinct from groups or collectives.