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 salia products: Western Foods 5 alsa and Mexico Chy Salsa. Essentially, the two products have different Wends of whole tomatoes, tomato sauct, and tomato paste. The Western Foods Salsa is a blend of 50% whole tomatoes, 30% tomato sauce, and 209 tomato paste. The Mexico City 5alsa, which has a thicker and chuinkier consistency, consists of 70% whole tomatoes, 10% tomato sauce, and 20%6 tomato paste, Each jar of salsa produced weighs 10 ounces. For the current production penod, Torv's, Incycan purchase up to 275 pounds of whole tomatoes, 140 pounds of tornato 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 5a lsa and $1.93 for each jar of Mexico City Salsa. Letting W=jarsofWentemFoodsSalsaM=jarsofMexicoOtySalsa lesds to the formulation (units for constraints are cunces): Mer 1W+125M sit. 5W+7M4,400 or of whole tomatoes 3W+1M2,240 oz of tomato savice 2W+2M1,600 or of temato paste W. M0 The senstivity report is shown below. Wariahle relle (a) What is the opumal solution, and what are the eptomul production euartives? \begin{tabular}{ll} W & jars \\ N & jars \\ profit $ & \end{tabular} (b) Specily the objective function ranges. (Round your answers to three decimal places.) Western foods Salisa to Mexice City Salsa to (b) Specify the objective function ranges. (Round your answers to three decimal places.) WesternFoodsSalsaMexicaCitySalsatoto (c) What are the shadow prices for each colstraint? Interpret each. constraint 1 One add tional ounce of whole tomatoes will improve protits by $0.125. One additional ounce of whole tomatoes will improve profits by $0.188. One additional ounce of whole tomatoes will improve profits by $240.00. Additional ounces of whole tomatoes will not improve profits. constraint 2 One additional ounce of tomato sauce will improve profits by $0.125. One additional ounce of tomato savce wal improve profits by $0.18B. One additional ounce of tomato sauce will improve profits by $240,00. Additional ounces of tomato sauce will not improve profits. constraint 3 One additional ounce of tomato paste will improve profits by $0.125. One additional ounce of tomato paste will improve profits by $0,188. One additional ounce of tomato paste will improve profits by $240.00. Additional ounces of tomato paste will not improve profits. (d) Identify each of the right-hand-side ranges. (If there is no upper or fower limit, enter No LMrT. Round your answers to two decimal places.) constraint 1 to constraine 3 One additional cunce of tomato paste will improve protits by $0,125. One additional ounce of tomato paste will improve profits by $0.18B. One additional ounce of tornsto pulate will improve profits by $240.00. Additional ounces of tomato paste will not improve profits. (d) Identify esch of the right-hand-side ranges. (tf there is no upper or lower limit, enter NO LMIT, Round your answers to two decimal places.) constraint 1 to constraint 2 to constraint 3 to 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 salia products: Western Foods 5 alsa and Mexico Chy Salsa. Essentially, the two products have different Wends of whole tomatoes, tomato sauct, and tomato paste. The Western Foods Salsa is a blend of 50% whole tomatoes, 30% tomato sauce, and 209 tomato paste. The Mexico City 5alsa, which has a thicker and chuinkier consistency, consists of 70% whole tomatoes, 10% tomato sauce, and 20%6 tomato paste, Each jar of salsa produced weighs 10 ounces. For the current production penod, Torv's, Incycan purchase up to 275 pounds of whole tomatoes, 140 pounds of tornato 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 5a lsa and $1.93 for each jar of Mexico City Salsa. Letting W=jarsofWentemFoodsSalsaM=jarsofMexicoOtySalsa lesds to the formulation (units for constraints are cunces): Mer 1W+125M sit. 5W+7M4,400 or of whole tomatoes 3W+1M2,240 oz of tomato savice 2W+2M1,600 or of temato paste W. M0 The senstivity report is shown below. Wariahle relle (a) What is the opumal solution, and what are the eptomul production euartives? \begin{tabular}{ll} W & jars \\ N & jars \\ profit $ & \end{tabular} (b) Specily the objective function ranges. (Round your answers to three decimal places.) Western foods Salisa to Mexice City Salsa to (b) Specify the objective function ranges. (Round your answers to three decimal places.) WesternFoodsSalsaMexicaCitySalsatoto (c) What are the shadow prices for each colstraint? Interpret each. constraint 1 One add tional ounce of whole tomatoes will improve protits by $0.125. One additional ounce of whole tomatoes will improve profits by $0.188. One additional ounce of whole tomatoes will improve profits by $240.00. Additional ounces of whole tomatoes will not improve profits. constraint 2 One additional ounce of tomato sauce will improve profits by $0.125. One additional ounce of tomato savce wal improve profits by $0.18B. One additional ounce of tomato sauce will improve profits by $240,00. Additional ounces of tomato sauce will not improve profits. constraint 3 One additional ounce of tomato paste will improve profits by $0.125. One additional ounce of tomato paste will improve profits by $0,188. One additional ounce of tomato paste will improve profits by $240.00. Additional ounces of tomato paste will not improve profits. (d) Identify each of the right-hand-side ranges. (If there is no upper or fower limit, enter No LMrT. Round your answers to two decimal places.) constraint 1 to constraine 3 One additional cunce of tomato paste will improve protits by $0,125. One additional ounce of tomato paste will improve profits by $0.18B. One additional ounce of tornsto pulate will improve profits by $240.00. Additional ounces of tomato paste will not improve profits. (d) Identify esch of the right-hand-side ranges. (tf there is no upper or lower limit, enter NO LMIT, Round your answers to two decimal places.) constraint 1 to constraint 2 to constraint 3 to
