2. [-/37.5 Points] DETAILS Question Details QUESTION PARTS POINTS -/2.34 SUBMISSIONS USED TOTAL -/37.5 1 Max 1W + 1.25M s.t. 0/2 W Model Variable M 5W + 7M 3W + 1M 2W + 2M W, M 0 The sensitivity report is shown below. Variable Cells Constraints 1 ASWQUANT13 8.E.009. Constraint Number 2 2 3 -12.34 0/2 W = jars of Western Foods Salsa M = jars of Mexico City Salsa leads to the formulation (units for constraints are ounces): 4,560 2,400 1,600 Name Western Foods Salsa Mexico City Salsa Name 3 -12.34 Whole tomatoes 0/2 Tomato sauce Tomato paste oz of whole tomatoes oz of tomato sauce oz of tomato paste -12.34 Final Value 0/2 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. 520.000 4 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 280.000 Final Value 4,560.000 1,840.000 1,600.000 -/2.34 0/2 Reduced Cost 0.000 0.000 5 Shadow Price 0.125 0.000 6 0.188 -12.34 0/2 MY NOTES Objective Coefficient 1.000 1.250 Constraint R.H. Side 4,560.000 2,400.000 7 1,600.000 (a) What is the optimal solution, and what are the optimal production quantities? W jars M jars profit $ -12.34 0/2 8 -/2.34 0/2 ASK YOUR TEACHER Allowable Increase 0.250 0.150 Allowable Increase 1,040.000 1E+30 9 -12.34 140.000 0/2 X -12.3 0.107 10 Allowable Decrease 0.250 0/2 560.000 Allowable Decrease 560.000 297.143

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Question Details Tom's, Inc, peoducet various, Mexican food products and sells them to Western Foods, a chain of groctry storet located in Texat and New Nexico. Tom's, Inc, makes two salca products: Western Foods Salsa and Mexico City Salsa. Evuentialiv, the two products have differont blends of whole temstoes, tomato souce, and tomsto paste. The Western Foods Solsa is a blend of sow censists of 70% whole tomatoet, 10% tomato sace., and 20% tomato paste, Each jar of salsa groduced weighis 10 aunces. and 100 pounds of tomato paste; the price per pound for these ingredients is $0.96,50.64, and $0.56, respectively. The cost of the spices and the other ingredients is approximately 50.10 per jar. Tom's, Inc, buys empty glass jars for 50.02 each, and labeling and nising costs are estimated to be 50.03 fer each par of salsa prosuced. Tom's contract wite western Fosos resules in sales revenue of \$1.64 for each jar of Western Fosds Saks and $1.93 tse each jar of Mexico Ciry Salsa. Letning W=jarsofWeatemFosdaSalaMjarsofMexicoCitySalsa leads to the formulation (units for constraints are ounces): Mox1w+1:254s.t.5W+7M4,560orofwholetomatoes3W+1N2,400ozoftamatesauce2W+2M&5.600oreftemateparew,M0 The sensitivity report is shown below. Variahle cellis Conctraints (a) What is the ogtimal splution, and what are the optimal production quantilies? w jars M tan