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

---

Definitions:

Sufficient Condition

A condition that, if satisfied, guarantees the occurrence or validity of another event or condition.

Methods of Agreement and Difference

Scientific research methods used to determine the cause of a phenomenon by examining cases where the phenomenon does and does not occur.

Method of Agreement

A principle in comparative research where common factors of various instances of a phenomenon are identified to determine the cause.

Cohort Differences

Refers to the distinctions or variations in characteristics, attitudes, or behaviors among groups of individuals who share a particular demographic background or experience period.