Formulate the linear programming

Assignment Help Operation Management

Reference no: EM13221166

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

Reference no: EM13221166

Questions Cloud

What is the new canadian dollar price of an iphone : Suppose that the current Canadian dollar (CAD) to U.S. dollar exchange rate is $0.8 CAD = $1 U.S. and that the U.S. dollar price of an Apple iPhone is $280. What is the Canadian dollar price of an iPhone What is the new Canadian dollar price of an ..

What dimension of cometitiveness does quality in product : What dimension of cometitiveness does quality in product design impact?

Describe the types of learning objectives : Describe the types of learning objectives for which each training method is most suited.

Compute the spring constant of the silicone band : Calculate the spring constant of this silicone band including units. I know Hooke's law is F=-KX, where F is force, -K is the consent of the spring which I need to find and X is the displacement from relaxed position, but i'm giving the oscillatio..

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

Which of the following contribute to competitive advantage : Which of the following contribute to competitive advantage? Select all that apply. Question 1 options: a) Proprietary know-how b) Installed customer base c) Number of employees d) Patents and trademarks e) Involved board of directors

Compute the number of pt atoms in the cube : a cube made of Platinum has an edge length of 1.60 cm the density of pt is 21.45 g/cm^3 calculate the number of pt atoms in the cube

Explain what is the max amount of fructose : what is the max amount of fructose that can be added to 1.5 kg pure water and still have the solution freeze?

What would a-1 ads need to know before creating promotions : Your new cyber cafe, Sips and Chips, will open in the next few weeks. You have hired A-1 Ads, an advertising agency to create the promotional materials for the grand opening. What would A-1 Ads need to know before creating the promotional material..

User Account

All Pages