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Question

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 to minimize its costs of operations. In this distribution center, there are two types of standard office 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 chairs200 each of A and B.

The requirements for shipments to each of the city's buildings are as follows:

Building 1 needs at least 100 of A

Building 2 needs at least 150 of B.

Building 3 needs at least 100 chairs, but they can be of either type, mixed.

Building 4 needs 40 chairs, but at least as many B as A.

Write out the objective function and the constraints for this problem. (Hint: there are eight variableschairs for building 1 cannot be used to satisfy the demands for another building).

Answer

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