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NYNEX Must Schedule Round-The-Clock Coverage for Its Telephone Operators

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NYNEX must schedule round-the-clock coverage for its telephone operators. To keep the number of different shifts down to a manageable level, it has only four different shifts. Operators work eight-hour shifts and can begin work at either midnight, 8 a.m., noon, or 4 p.m. Operators are needed according to the following demand pattern, given in four-hour time blocks.
NYNEX must schedule round-the-clock coverage for its telephone operators. To keep the number of different shifts down to a manageable level, it has only four different shifts. Operators work eight-hour shifts and can begin work at either midnight, 8 a.m., noon, or 4 p.m. Operators are needed according to the following demand pattern, given in four-hour time blocks.     Formulate this scheduling decision as a linear programming problem, defining fully your decision variables and then giving the objective function and constraints.
Formulate this scheduling decision as a linear programming problem, defining fully your decision variables and then giving the objective function and constraints.

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Definitions:

Target Capital Structure

The combination of borrowing, ownership stakes, and additional financing methods a business intends to employ for its operational and expansion activities.

Target Dividend Payout

A company's goal or policy regarding the percentage of earnings it aims to pay out to shareholders in the form of dividends.

Positive NPV Projects

Projects for which the Net Present Value (NPV) is greater than zero, indicating that they are expected to generate a profit above the cost of capital.

Capital Budget

A budget allocating money for the acquisition or maintenance of fixed assets such as buildings, machinery, and equipment.

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