Exam 6: Optimization Models With Integer Variables

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The branch and bound algorithm uses:

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Solver may be unable to solve some integer programming problems,even when they have an optimal solution.

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In a model with 8 changing cells,all of which are constrained to be binary,the number of potentially feasible solutions is:

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Exhibit 6-3 PharmaCo wants to determine how to deploy sales representatives across its Western U.S.region to support a new drug for obesity.Sales representatives will be located in a "home city",which they serve,in addition to cities with feasible commuting distance,with the objective that all cities must be served by at least one sales representative.The feasible connections between each city in the region are listed below (1 indicates a feasible connection): Exhibit 6-3 PharmaCo wants to determine how to deploy sales representatives across its Western U.S.region to support a new drug for obesity.Sales representatives will be located in a home city,which they serve,in addition to cities with feasible commuting distance,with the objective that all cities must be served by at least one sales representative.The feasible connections between each city in the region are listed below (1 indicates a feasible connection):   -Refer to Exhibit 6-3.Formulate an integer programming model to identify a feasible deployment plan to the sales representatives.What is the minimum number of representatives that can cover this region? What are their home cities? -Refer to Exhibit 6-3.Formulate an integer programming model to identify a feasible deployment plan to the sales representatives.What is the minimum number of representatives that can cover this region? What are their home cities?

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In a linear model,the target cell and constraints are ultimately:

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Exhibit 6-1 A recent college graduate is planning to move cross country from her college town to the city where her first job is located.She has rented a truck that can haul up to 1100 cubic feet of furniture.The volume and value of each item she is considering moving on the truck are given below. Exhibit 6-1 A recent college graduate is planning to move cross country from her college town to the city where her first job is located.She has rented a truck that can haul up to 1100 cubic feet of furniture.The volume and value of each item she is considering moving on the truck are given below.   -Refer to Exhibit 6-1.Suppose she can save $400 by renting a smaller truck,which has only 800 cubic feed of capacity.Would she be better off with the smaller truck? -Refer to Exhibit 6-1.Suppose she can save $400 by renting a smaller truck,which has only 800 cubic feed of capacity.Would she be better off with the smaller truck?

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An algorithm which uses implicit enumeration:

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In a set-covering model,each member of a given set (set 1)must be "covered" by all members of another set (set 2).

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