The Trim-Look Company makes several lines of skirts, dresses, and sport coats. Recently, a

Question: 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 sewingwhat is the optimal value for x3Show transcribed image text 100% (1 rating)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 Processing Time (hr) Cutting Sewing 2 Material (yd) Skirt Dress Sport coat 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 and overhead; each dress, $16; and each sport coat, $33. a. Let X, number of skirts produced, X₂ = number of dresses produced, X, number of sport coats produced. Specify the objective function and constraints for the problem. Objective function: Maximize Z 10 X, 16 X₂ 33 X, Constraints: Cutting 1x₁ 3x₂ 3x, s 120 Sewing 2X, 1X, 4X, s 180 Material 1X, 1X, 5X, 80 Nonnegativity X₁, X₂ 20 b. A linear programming software shows the optimal solution as X₁-60 X, 20 What is the optimal value for X₂? X₁ (Enter your response rounded to the nearest whole number)