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.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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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