Machines A, B, C, and D Have Been in Use

question 53

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

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Definitions:

Hormones

Chemical messengers produced by glands in the endocrine system, affecting various processes in the body like growth and metabolism.

Enzymes

Biological molecules that significantly speed up the rate of virtually all of the chemical reactions that take place within cells.

Plasmodesmata

Channels in plant cell walls that enable communication and transport between cells.

Cytoplasm

The cytoplasm is the gel-like material inside the cell membrane of all cell types, containing organelles and soluble molecules like enzymes and nutrients, involved in cellular processes.