Design an lp representing the problem

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Reference no: EM133324766

Assignment: Consider a scenario where C is the set of clients and S is the set of servers. Each client i in set C can be served by server j in set S with a service cost ci j. Because of the emerging issue of carbon emission and global warming at most k servers can stay functional at a time. Our objective is to find the optimal set of k servers so that each client can be served while minimizing the total service cost. Let OPT be the sum of the service costs over all clients for the optimal solution.

i Design an LP representing the problem. [clearly describe in language the variables, describe the constraints and objective function]

ii. Write the dual LP.

Reference no: EM133324766

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