The Trim-Look Company makes several lines of skirts, dresses, and sport coats. Recently, a consultant suggested that the company reevaluate its South Islander line and allocate itsresources to products that would maximize contribution to profits and to overhead. Each product requires the same polyester fabric and must pass through the cutting and sewingdepartments. The following data were collected for the study.a. Let X₁ = number of skirts produced,X₂ = number of dresses produced,X3 = number of sport coats produced.ProductSpecify the objective function and constraints for the problem.Objective function: Maximize Z = X₁ + x₂ + x3SkirtDressSport coatProcessing Time (hr)CuttingSewing213325Material (yd)The cutting department has 120 hours of capacity, sewing has 200 hours of capacity, and 120 yards of material are available. Each skirt contributes $9 to profits and overhead;each dress, $21; and each sport coat, $35.15

Linear programming (LP) is a mathematical optimization technique that helps solve problems where an…

Answered: a. Let X₁ = number of skirts produced,…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section4.8: Data Envelopment Analysis (dea)

Problem 43P

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The Trim-Look Company makes several lines of skirts,dresses, and sport coats. Recently, a consultant suggested thatthe company reevaluate its South Islander line and allocateits resources to products that would maximize contributionto profits and to overhead. Each product requires the samepolyester fabric and must pass through the cutting and sewingdepartments. The following data were collected for the study: The cutting department has 100 hours of capacity, sewing has180 hours of capacity, and 60 yards of material are available.Each skirt contributes $5 to profits and overhead; each dress,$17; and each sport coat, $30.a. Specify the objective function and constraints for thisproblem.b. Use a computer package such as POM for Windows tosolve the problem.
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a. Let X₁ = number of skirts produced, X₂ = number of dresses produced, X3 = number of sport coats produced. Specify the objective function and constraints for the problem. Objective function: Maximize Z = X₁ + x₂ + x3