Note: This Problem Requires the Use of a Linear Programming

question 41

Multiple Choice

Note: This problem requires the use of a linear programming application such as Solver or Analytic Solver.
Your employer is trying to select from a list of possible capital projects. The projects, along with their cost and benefits, are listed below. The capital budget available is $1 million. In addition to spending constraints, your employer would like to select at least two projects. If project 1 is chosen then project 2 cannot be selected. Formulate the problem as a linear program and determine the optimal solution.
$$\begin{array} { c c c c } \text { Project } & \text { Cost } & \text { Net Presert Value } & \text { Notes } \\1 & \$ 250,000 & \$ 500,000 & \text { Carrnot be selected if } 2 \text { is selected } \\2 & \$ 500,000 & \$ 750,000 & \text { Carrot be selected if } 1 \text { is selected } \\3 & \$ 290,000 & \$ 333,000 & \\4 & \$ 650,000 & \$ 400,000 & \\5 & \$ 750,000 & \$ 600,000 &\end{array}$$

• A) Project 1 and project 2
• B) Project 1 and project 3
• C) Project 1 and project 5
• D) Project 2 and project 3
• E) Project 3 and project 5

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Definitions:

Owner's Equity

The residual interest in the assets of an entity after deducting liabilities, representing the owner's claim against the company’s assets.

Revenues

The total income generated from normal business operations, often from the sale of goods and services before expenses are deducted.

Expenses

Monetary outflows or costs incurred in an entity's operations.

Owner's Equity

The residual interest in the assets of a company after deducting liabilities, representing the owner's claim on the business assets.