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A Firm Has Prepared the Following Binary Integer Program to Evaluate

question 32

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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.
Which of the constraints enforces a mutually exclusive relationship?

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Definitions:

Organizational Structures

The system of hierarchy and arrangement within an organization defining how roles, responsibilities, and authority are distributed.

Line Structure

An organizational framework where direct reports and authority flow vertically from the top executive to the lowest level employee, emphasizing clear chains of command.

Multidivisional Structure

A corporate organizational structure where a company is divided into multiple, semi-autonomous units, each with their responsibilities, operations, and management.

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