a. Let X, number of skirts produced, X₂= number of dresses produced, X₂ = number of sport coats produced. Specify the objective function and constraints for the problem. Objective function: Maximize Z= x₁ + x₂ + x₁

Foundations of Business (MindTap Course List)
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Section11.10A: Consumer Buying Behavior
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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 its resources 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 sewing departments. The following data were collected for the study
Product
Skirt
Dress
Sport coat
Processing Time (hr)
Sewing
2
Cutting
1
3
3
1
4
a. Let X, 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
Material (yd)
1
5
The cutting department has 120 hours of capacity, sewing has 180 hours of capacity, and 80 yards of material are
available. Each skirt contributes $10 to profits I overhead; each dress, $16, and each sport coat. $33.
Transcribed Image Text: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 its resources 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 sewing departments. The following data were collected for the study Product Skirt Dress Sport coat Processing Time (hr) Sewing 2 Cutting 1 3 3 1 4 a. Let X, 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 Material (yd) 1 5 The cutting department has 120 hours of capacity, sewing has 180 hours of capacity, and 80 yards of material are available. Each skirt contributes $10 to profits I overhead; each dress, $16, and each sport coat. $33.
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