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Formulate and Solve Optimization Models with Binary Variables and Logical

question 10

Multiple Choice

Formulate and solve optimization models with binary variables and logical constraints.
Use the table below to answer the following question(s) by invoking the binary constraints on the variables using the standard Solver.
Below is the spreadsheet for a project selection model:  A  B  C  D  E  F  G  Project Selection 1 Model 23 Data 4 Available  Project 1  Project 2  Project 3  Project 4  Project 5  Resources 5 Expected Return (NPV) $160,000$200,000$125,000$150,000$225,0006 Cash  requirements $45,000$70,000$28,000$52,000$65,000$175,0007 Personnel  requirements 742641089 Model 1011 Project selection  decisions 12 Cash Used 13 Personnel Used 14 Return \begin{array}{|l|l|l|l|l|l|l|l|}\hline & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } \\\hline & \text { Project Selection } & & & & & & \\1 & \text { Model } & & & & & & \\\hline 2 & & & & & & & \\\hline 3 & \text { Data } & & & & & & \\\hline 4 & & & & & & & \text { Available } \\ & & \text { Project 1 } & \text { Project 2 } & \text { Project 3 } & \text { Project 4 } & \text { Project 5 } & \text { Resources } \\\hline 5 & \begin{array}{l}\text { Expected Return } \\(\mathrm{NPV}) \end{array} & \$ 160,000 & \$ 200,000 & \$ 125,000 & \$ 150,000 & \$ 225,000 \\\hline 6 & \begin{array}{l}\text { Cash } \\\text { requirements }\end{array} & \$ 45,000 & \$ 70,000 & \$ 28,000 & \$ 52,000 & \$ 65,000 &\$175,000\\\hline 7 & \begin{array}{l}\text { Personnel } \\\text { requirements }\end{array} & 7 & 4 & 2 & 6 & 4 & 10 \\\hline 8 & & & & & & & \\\hline 9 & \text { Model } \\\hline 10 & \\\hline 11 & \begin{array}{l}\text { Project selection } \\\text { decisions }\end{array} \\\hline 12 & \text { Cash Used } \\\hline 13 & \text { Personnel Used } \\\hline 14 & \text { Return } \\\hline\end{array}
-What is the total amount of cash used for all five projects?


Definitions:

Peripheral Nervous System

The part of the nervous system that consists of nerves and ganglia outside of the brain and spinal cord, connecting the central nervous system to limbs and organs.

Reticular Formation

A network of nerve pathways located in the brainstem that mediates the overall level of consciousness.

Alertness

The state of being watchful and ready to respond quickly to any changes or threats.

Emotions

Complex psychological states that involve a subjective experience, a physiological response, and a behavioral or expressive response.

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