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Note: This Problem Requires the Use of a Linear Programming xj={1, if location j is selected 0, otherwise x _ { j } = \left\{ \begin{array} { l } 1 , \text { if location } j \text { is selected } \\0 , \text { otherwise }\end{array} \right.

question 38

Multiple Choice

Note: This problem requires the use of a linear programming application such as Solver or Analytic Solver.
A firm has prepared the following binary integer program to evaluate a number of potential locations for new warehouses. The firm's goal is to maximize the net present value of their decision while not spending more than their currently available capital.
Max 20x1 + 30x2 + 10x3 + 15x4
s.t. 5x1 + 7x2 + 12x3 + 11x4 ? 21 {Constraint 1}
X1 + x2 + x3 + x4 ? 2 {Constraint 2}
X1 + x2 ? 1 {Constraint 3}
X1 + x3 ? 1 {Constraint 4}
X2 = x4 {Constraint 5} xj={1, if location j is selected 0, otherwise x _ { j } = \left\{ \begin{array} { l } 1 , \text { if location } j \text { is selected } \\0 , \text { otherwise }\end{array} \right.
Set up the problem in Excel and find the optimal solution. Which locations are selected?

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Definitions:

Agreement-at-Any-Cost

A mindset or strategy where reaching consensus is prioritized over the quality or implications of the decision.

Group Decision Making

The process of making choices or solving problems as a collective, involving multiple individuals to reach a consensus or decision.

Staff Meetings

Regularly scheduled gatherings where employees and management meet to discuss issues, share information, and make decisions related to the workplace or projects.

Organizational Behavior

The study of how people interact within groups, particularly in a work setting, to understand how to improve job performance and organizational effectiveness.

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