1 Face Cream, Shift 1 Face Cream, Body Body Cream, Linear Programming Model Formulation (8 production variable, 11 constraints, minimization problem) Face Cream, Shift 2 Subcontracted Cream, Shift Shift 2 Body Cream, Hand Cream, Hand Cream, Subcontracted Shift 1 Shift 2 Capacity Cost 32.15 34.17 40.00 37.35 39.81 55.00 25.53 26.84 $1,368,178.00 min Labor Stage 1 Shift 1 1.50 1.80 1.00 15000.00 S 15,000 Labor Stage 2 Shift 1 0.80 1.00 0.50 7600.00 $ 10,000 Labor Stage 1 Shift 2 1.50 1.80 1.00 4800.00 13,500 Labor Stage 2 Shift 2 0.80 1.00 0.50 2400.00 $ 9,000 Water 8.00 8.00 6.00 6.00 7.00 7.00 132000.00 S 200,000 Oils 1.00 1.00 3.00 3.00 2.00 2.00 39000.00 50,000 Scents/Colors 0.50 0.50 0.30 0.30 0.40 0.40 7500.00 S 7,500 Emulsifiers 0.50 0.50 0.70 0.70 0.60 0.60 11500.00 15,000 Amount (FC) 1 1 1 12000.002 12,000 Amount (BC) 1 1 1 8000.00 2 8,000 Amount (HC) 1 1 18000.00 2 18,000 Decision: Number of cartons to make of each product: 0.00 0.00 12,000.00 1,000.00 0.00 7,000.00 13,200.00 4,800.00