Formulate and Solve Optimization Models with Binary Variables and Logical

question 41

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: $\begin{array}{|l|l|l|l|l|l|l|l|}\hline & \text { A } & \text { B } & \text { C } & \text { D } & \text { E } & \text { F } & \text { G } \\\hline & \text { Project Selection } & & & & & & \\1 & \text { Model } & & & & & & \\\hline 2 & & & & & & & \\\hline 3 & \text { Data } & & & & & & \\\hline 4 & & & & & & & \text { Available } \\ & & \text { Project 1 } & \text { Project 2 } & \text { Project 3 } & \text { Project 4 } & \text { Project 5 } & \text { Resources } \\\hline 5 & \begin{array}{l}\text { Expected Return } \\(\mathrm{NPV}) \end{array} & \$ 160,000 & \$ 200,000 & \$ 125,000 & \$ 150,000 & \$ 225,000 \\\hline 6 & \begin{array}{l}\text { Cash } \\\text { requirements }\end{array} & \$ 45,000 & \$ 70,000 & \$ 28,000 & \$ 52,000 & \$ 65,000 &\$175,000\\\hline 7 & \begin{array}{l}\text { Personnel } \\\text { requirements }\end{array} & 7 & 4 & 2 & 6 & 4 & 10 \\\hline 8 & & & & & & & \\\hline 9 & \text { Model } \\\hline 10 & \\\hline 11 & \begin{array}{l}\text { Project selection } \\\text { decisions }\end{array} \\\hline 12 & \text { Cash Used } \\\hline 13 & \text { Personnel Used } \\\hline 14 & \text { Return } \\\hline\end{array}$
-What is the amount of cash used for Project 2?

• A) $ 105,000
• B) $ 25,000
• C) $ 115,000
• D) $ 70,000

Identify the principle of comparative advantage and its importance in specialization and trade.

Recognize different types of capital and their roles in the economy.

Understand the outputs in the production process and their value to households.

Grasp the significance of investment in economics and differentiate it from other financial activities.

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Definitions:

Net Sales

Total revenue from sales minus returns, allowances for damaged or missing goods, and any discounts allowed.

Cost of Goods Sold

Direct expenditures linked to the manufacture of a company's products for sale, covering both materials and labor.

Net Income

Net income is the total profit of a company after all expenses, taxes, and costs have been deducted from total revenue, indicating the company's financial health over a specified period.

Gross Margin Ratio

A financial metric that demonstrates the proportion of revenue that exceeds the cost of goods sold, expressed as a percentage.