Shirtstop makes t-shirts with logos and sells them in its, Ask an Expert

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Shirtstop makes T-shirts with logos and sells them in its chain of retail stores. It contracts with 2 different plants - one in Puerto Rico and one in the Bahamas. The shirts from the plant in Puerto Rico cost $0.46 apiece, and 9% of them are defective and can't be sold. The shirts from the plant in the Bahamas cost only $0.35 each, but they have an 18% defective rate. Shirtstop needs 3,500 shirts. To retain its relationship with the two plants, it wants to order at least 1,000 shirts from each plant. It would also like at least 88% of the shirts it receives to be salable.

a) Formulate the linear programming (LP) model for this problem by stating the decision variables, writing the objective function, and all the relevant constraints.

Decision Variables
Let X1 represent the number of shirts purchased from Puerto Rico
Let X2 represent the number of shirts purchased from the Bahamas
Objective Function
Minimize Z = .46X1 + .35X2
Constraints
X1 + X2 ? 3500 Desired shirts constraint
X1 ? 1000 Minimum from PR constraint
X2 ?1000 Minimum from the Bahamas constraint

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Operation Management, Management Studies

Category:- Operation Management
Reference No.:- M9370442

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