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Formulate and Solve Optimization Models with Binary Variables and Logical

question 16

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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 amount of personnel used for Project 2?


Definitions:

Organizational Rules

The formal directives, policies, and procedures established to guide operations and behavior within an organization.

Quantitative Research

A research methodology that focuses on quantifying the collection and analysis of data through objective measurement and statistical analysis.

Qualitative Research

A research method focusing on understanding concepts, thoughts, and experiences through collection of non-numeric data like interviews, observations, and texts.

Complementary

Describes things that enhance or improve each other when combined, often due to their contrasting qualities.

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