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# Business Analytics Data Study Set 1

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## Quiz 14 : Optimization Models

The LP relaxation of an integer programming (IP)problem is the same model as the IP model except that some integer constraints are omitted.
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True False

False

If all the supplies and demands for a transportation model are integers,then the optimal Solver solution may or may not have integer-valued shipments.
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True False

False

The optimal solution to an LP problem was 3.69 and 1.21.If and were restricted to be integers,then 4 and 1 will be a feasible solution,but not necessarily an optimal solution to the IP problem.
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True False

False

Multiple optimal solutions are quite common in linear programming models.
True False
The transportation model is a special case of the minimum cost network flow model (MCNFM).
True False
In blending problems,if a quality constraint involves a quotient,then the problem will be nonlinear.
True False
If an LP problem is not correctly formulated,Solver will automatically indicate that it is infeasible when trying to solve it.
True False
Solver may be unable to solve some integer programming problems,even when they have an optimal solution.
True False
In network models of transportation problems,arcs represent the routes for getting a product from one node to another.
True False
In a transportation problem,if it costs $4 per item to ship up to 200 items between cities,and$2 per item for each additional item,the proportionality assumption of LP is satisfied.
True False
Integer programming (IP)models are optimization models in which all of the variables must be integers.
True False
Transportation costs for a given route are nearly always linear and smooth,with the main cost differences occurring between routes.
True False
Many of the most successful applications of optimization in the real world have been in the areas of scheduling,blending,logistics,and aggregate planning.
True False
Logistics problems are problems of finding the least expensive way to transport products from their origin to their destination.
True False
In transportation problems,the three sets of input numbers that are required are capacities,demands,and flows.
True False
In transportation problems,shipments between supply points or between demand points are possible.
True False