1. What are all necessary changes to the below model so that constraint set (1) becomes softGive the new full model. a, are parameters. Original OF refers to an already existing function ofthe decision variables that is being maximized.max Original OFmΣayxy = 10 vj = 1,...,n (1)xy 20 vi = 1,.,m;vj = 1,.,nWhat will change if the problem becomes a minimization problem?2. Consider the following multiperiod, multiproduct production-inventory problem. Suppose thatwe are examining T periods t=1,..,T, and some N products i=1,...N. There is an initialinventory of y, that is available at hand for each product i=1,...,N. We need to principallydetermine the level of production for cach product i=1,...,N during each of the periodst=1,...,T, so as to meet the forecasted demand d, for each product i during each period t whenit occurs, at a minimal total cost. To take advantage of varying demands and costs, we arepermitted to produce excess quantities to be stored for later use. However, each unit of producti consumes a storage space s, and incurs a storage cost c, during period t, for i-1,..,N,t=1,...,T. The total storage space anticipated to be available for these N products during periodtis S, t=1,..,T. Furthermore, each unit of product i requires h; hours of labor to produce,where the labor cost per hour when producing a unit of product i during period t is given by .for i=1,..,N, t=1,...,T. The total number of labor hours available to manufacture these Nproducts during period t is given by H, Formulate a linear program to solve this production-inventory control system problem. Clearly specify and explain your decision variables.

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Description: 1. What are all necessary changes to the below model so that constraint set (1) becomes softGive the new full model. a, are parameters. Original OF refers to an already existing function ofthe decision variables that is being maximized.max Original

As , no question is specified, I will do the first question To change to soft constraints , we can…

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1. What are all necessary changes to the below model so that constraint set (1) becomes soft Give the new full model. a, are parameters. Original OF refers to an already existing function of the decision variables that is being maximized. max Original OF 2 ayxy = 10 Vj = 1,.n (1) xy 20 vi = 1,.m;Vj 1,..n What will change if the problem becomes a minimization problem?

1. What are all necessary changes to the below model so that constraint set (1) becomes soft Give the new full model. a, are parameters. Original OF refers to an already existing function of the decision variables that is being maximized. max Original OF 2 ayxy = 10 Vj = 1,.n (1) xy 20 vi = 1,.m;Vj 1,..n What will change if the problem becomes a minimization problem?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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