Tom’s, Inc., produces various Mexican food products and sells them to Western Foods, a

Question: 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 aSee the answerSee the answerSee the answer done loadingHello! I’m having trouble with this practice problem. Any help is appreciated

Show transcribed image textTranscribed image text: 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 285 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 ≤ 4,560 oz of whole tomatoes 3W 1M ≤ 2,400 oz of tomato sauce. 2W 2M ≤ 1,600 oz of tomato paste. W, M 20 The computer solution is shown below. Optimal Objective Value = 870.00000 Variable Value Reduced Cost W 520.00000 0.00000 M 280.00000 0.00000 Constraint Slack/Surplus Dual Value 1 0.00000 0.12500 2 560.00000 0.00000 3 0.00000 0.18750 Variable Objective Allowable Allowable Coefficient Increase Decrease W 0.10714 1.00000 1.25000 0.25000 0.15000 M 0.25000 Constraint Allowable Increase 1040.00000 Allowable Decrease RHS Value 4560.00000 2400.00000 1600.00000 1 2 560.00000 Infinite 560.00000 140.00000 297.14286 3 (a) What is the optimal solution, and what are the optimal production quantities? W jars M jars profit $ (b) Specify the objective function ranges. (Round your answers to five decimal places.) Western Foods Salsa to to Mexico City Salsa (c) What are the dual values for each constraint? Interpret each. constraint 1 O One additional ounce of whole tomatoes will improve profits by $0.125. O One additional ounce of whole tomatoes will improve profits by $560.00. O One additional ounce of whole tomatoes will improve profits by $0.188. O Additional ounces of whole tomatoes will not improve profits. constraint 2 O One additional ounce of tomato sauce will improve profits by $0.125. O One additional ounce of tomato sauce will improve profits by $560.00. O One additional ounce of tomato sauce will improve profits by $0.188. O Additional ounces of tomato sauce will not improve profits. constraint 3. O One additional ounce of tomato paste will improve profits by $0.125. O One additional ounce of tomato paste will improve profits by $560.00. O One additional ounce of tomato paste will improve profits by $0.188. O Additional ounces tomato paste will not mprove profits. (d) Identify each of the right-hand-side ranges. (Round your answers to two decimal places. If there is no upper or lower limit, enter NO LIMIT.) constraint 1 to constraint 2 to constraint 3. to