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Formulate and Solve Optimization Models with Binary Variables and Logical

question 10

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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 total amount of cash used for all five projects?


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Leadership Categorization Theory

A theory that suggests people evaluate leaders based on how closely their behaviors and traits match prototypes of leadership.

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measures the extent to which a leader is successful in achieving desired outcomes, influencing others, and fulfilling leadership roles and responsibilities.

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