Tom's, Inc., produces various Mexican food products and sells them to Western Foods, a chain of grocery stores located in Texas and New Mexico. Tom's, Inc., makes two salsa products: Western Foods Salsa and Mexico City Salsa. Essentially, the two products have different blends of whole tomatoes, tomato sauce, and tomato paste. The Western Foods Salsa is a blend of 50% whole tomatoes, 30% tomato sauce, and 20% tomato paste. The Mexico City Salsa, which has a thicker and chunkier consistency, consists of 70% whole tomatoes, 10% tomato sauce, and 20% tomato paste. Each jar of salsa produced weighs 10 ounces. For the current production period, Tom's, Inc., can purchase up to 275 pounds of whole tomatoes, 150 pounds of tomato sauce, and 100 pounds of tomato paste; the price per pound for these ingredients is $0.96, $0.64, and $0.56, respectively. The cost of the spices and the other ingredients is approximately $0.10 per jar. Tom's, Inc., buys empty glass jars for $0.02 each, and labeling and filling costs are estimated to be $0.03 for each jar of salsa produced. Tom's contract with Western Foods results in sales revenue of $1.64 for each jar of Western Foods Salsa and $1.93 for each jar of Mexico City Salsa. Letting W = jars of Western Foods Salsa M = jars of Mexico City Salsa leads to the formulation (units for constraints are ounces): Max 1W+ 1.25M s.t. 5W + 7M 3W + 1M 2W + 2M W, M 20 The computer solution is shown below. Variable W Optimal Objective Value 850.00000 Constraint 1 2 3 Variable W M $ 4,400 s 2,400 s 1,600 Constraint 1 2 3 $ Value 600.00000 200.00000 oz of whole tomatoes oz of tomato sauce oz of tomato paste Slack/Surplus 0.00000 400.00000 0.00000 1.00000 1.25000 Reduced Cost 0.00000 0.00000 Objective Allowable Allowable Coefficient Increase Decrease 0.25000 0.15000 RHS Value 4400.00000 2400.00000 1600.00000 Dual Value 0.12500 0.00000 0.18750 Allowable Increase 0.10714 0.25000 Allowable Decrease 1200.00000 400.00000 Infinite 400.00000 100.00000 342.85714 (a) What is the optimal solution, and what are the optimal production quantities? W jars jars M profit