10. Grave City is considering the relocation of several police substations to obtain better enforcement in high-crime areas. The locations under consideration togetherwith the areas that can be covered from these locations are given in the following table.Potential Locationsfor SubstationsAreas CoveredA1,5, 7B1, 2, 5, 71,3, 52,4, 53, 4, 6F4,5, 61, 5, 6, 7a. Formulate an integer programming model that could be used to find the minimum number of locations necessary to provide coverage to all areas.b. Solve the problem in part (a).11. Hart Manufacturing makes three products. Each producarequires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, bydepartment, are

Answered: a. Formulate an integer programming…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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10. Grave City is considering the relocation of several police substations to obtain better enforcement in high-crime areas. The locations under consideration together
with the areas that can be covered from these locations are given in the following table.
Potential Locations
for Substations
Areas Covered
A
1,5, 7
B
1, 2, 5, 7
1,3, 5
2,4, 5
3, 4, 6
F
4,5, 6
1, 5, 6, 7
a. Formulate an integer programming model that could be used to find the minimum number of locations necessary to provide coverage to all areas.
b. Solve the problem in part (a).
11. Hart Manufacturing makes three products. Each producarequires manufacturing operations in three departments: A, B, and C. The labor-hour requirements, by
department, are

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Linear programming is a method of operation optimization with specific restrictions. The main objective of linear programming is to increase or reduce a numerical value. A common method for assessing the best use of resources is linear programming. An example of a linear programming problem is one that aids in identifying the feasible area and optimizing the solution to obtain the highest or lowest function value.