Formulate the linear programming model

Assignment Help Operation Management

Reference no: EM13100202

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: EM13100202

Questions Cloud

Developing a new test of spatial perception : A psychologist has to develop a new test of spatial perception, and she wants to estimate the mean score achieved by male pilots. How many people must she test if she wants the sample mean to be in error by no more than 2.0 points, with 95% confid..

What is the length of prokaryote dna within the nucleoid : what is the length of prokaryote DNA within the nucleoid.

What is differences in transport systems of unicellular : What is the differences in transport systems of unicellular protists, colonial protists and large multicellular protists, such as brown algae.

Consumption for the population of all ontario households : Use these statistics to construct a 94% confidence interval for the mean monthly consumption for the population of all Ontario households.

Formulate the linear programming model : 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.

How do protists transport wastes and ions : How do protists transport wastes and ions.

Randomly selects without replacement : As part of his review for a chemistry test, a student randomly selects (without replacement) 40 out of 102 elements listed on the standard tables, and tries to guess their atomic numbers.

Normally distributed height with mean : Assume that female students' heights are normally distributed with a mean given by µ = 64.2 in. and a standard deviation given by σ = 2.6 in.

Provide a detailed account of the materials and methods : Design an experiment in which you will test the effect of an acidic fluid on enzymatic activity. (Recall: enzymes are proteins.) To complete this project, it may be useful for you to review the Scientific Method Tutorial (found the Course Content ..

User Account

All Pages