
Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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..2...
2. The property manager of a city government issues chairs, desks, and other office furniture to city
buildings from a centralized distribution center. Like most government agencies, it operates
minimize its costs of operations. In this distribution center, there are two types of standard De
chairs, Model A and Model B. Model A is considerably heavier than Model B, and costs $20 per
chair to transport to any city building; each model B costs $14 to transport. The distribution
center has on hand 400 chairs-200 each of A and B.
41. 5. 16.
The requirements for shipments to each of the city's buildings are as follows:
Building 1 needs at least 80 of A
Building 2 needs at least 150 of B.
Building 3 needs at least 120 chairs, but they can be of either type,
Building 4 needs 40 chairs, but at least as many B as A.
a.
Write the algebraic formulation of the problem.
Decision Variables:
b. Solve using Excel solver to minimize cost.
mixed.
Hint: there are eight decision variables because we need to know how many of each chair (A and
B) to deliver to each of the four buildings and seven constraints. The objective is to minimize
cost.
Expert Solution

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Step 1 Introduction:-
Linear programming is a mathematical technique that is also used in operations management departments. This technique is commonly used to find the best outcome with the maximum profit. Linear programming has various methods; each method is chosen by the companies as per their requirements or based on different factors.
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