hopefully thats more clear
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 past. The Western Foods Salsas 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 far of salsa produced weighs 10 ounce For the current production period, Tom's, Inc., can purchase up to 27 pounds of whole tomatoes, 140 pounds of tomato sauce, and 100 pounds of tomato paste the price per pound for these ingredients is $0.96, 50.6, and 30.56, respectively. The cost of the spices and the other Ingredients approximately 50.10 per a Tom's, Inc. buys empty glass jars for $0.02 each and tabeling and lling costs are estimated to be $0.0 for each jar of salsa produced. Tom's contract with Westem Foods results in sales revenue of $1.64 for each jar of Western Foods Salsa and $1.99 for each jar af Mexico City Salsa Letting was of Western Foods Salsa Mars of Mexico City Salsa leads to the formulation (units for constraints are ounces); Maxiw + 1.25 st sw . 7 $4,400 oz of whole tomatoes W + 1M $2,240 or of tomate 2W - 2M $1,000 ot of tomato paste WM 20 The computer who is shown below pinali 000 10000 Cat 1.00 (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.) Westem Foods Salsa to Mexico City Salsa to (c) What are the dual values for each constraint? Interpret each. constraint 1 O One additional ounce of whole tomatoes will improve profits by $240.00. O One additional ounce of whole tomatoes will improve profits by $0.188. O One additional ounce of whole tomatoes will improve profits by $0.125. Additional ounces of whole tomatoes will not improve profits. constraint 2 One additional ounce of tomato sauce will improve profits by $240.00. One additional ounce of tomato sauce will improve profits by $0.188. One additional ounce of tomato sauce will improve profits by $0.125. Additional ounces of tomato sauce will not improve profits. constraint 3 O One additional ounce of tomato paste will improve profits by $240.00. One additional ounce of tomato paste will improve profits by $0.188. O One additional ounce of tomato paste will improve profits by $0.125. Additional ounces of tomato paste will not improve 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 cond seal Bosni tanto Tom's, lry, 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 sala 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 pate. The Medico City Salsa, which has a thicker and chunkier consistency, consists of 70% whole tomatoes, 10% tomato Saun, and 20% tomato pasta. Fach jar of salsa produced weighs 10 ounces For the current production period, Tom's, Inc. can purchase up to 275 pounds of whole tomatoes, 140 pounds of tomato sauce, and 100 pounds of tomato paste, the price per pound for these Ingredients is $0.90, 0.64, and 10.56, respectively. The cost of the spices and the other ingredients is approximately $0.10 per ser Tom's, Inc., buys empty glass sans for $0.00 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 revenus of $1.64 for each jar of Western Food Salsa and $195 for each jar of Mexico City Salsa. Letting wars of Western Foods Salsa M-jars of Mexico City Salsa leads to the formulation units for constraints are ounces): Max 1W - 1.25M EL 5W + 2M 54,400 o of whole tomatoes W.IM $2,240x of tomato sauce 2w - 2M $ 1.600 or of tomato paste W, MO The computer sun is shown below Optie 155.00000 Red Cat LOD.00000 0.00003 0.000 0.000 . 1271 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 S 4,400 3W + 1M s 2,240 2W + 2M
