Tastie Food Company has decided to come up with two variety of tomato sauce one that...
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Tastie Food Company has decided to come up with two variety of tomato sauce one that is spicy and another that is non-spicy. The variety of sauces are a blend of whole tomatoes, chili sauce and tomato paste. However, the two are blend differently such that they give the required taste. The spicy sauce is a blend of 45 percent whole tomatoes, 35 percent chili sauce, 15 percent of tomato paste and 5 percent of sugar. While the non-spicy sauce is a blend of 35percent of whole tomatoes, 10 percent of chili sauce, 25 percent of tomato paste and 30 percent of sugar. Each sauce bottle weighs 400 grams. To produce the two variety of sauce, the management has decided to purchase 525 kilos of whole tomatoes, 650 kilos of chili sauce, 100 kilos of tomato paste, and 250 kilos of sugar. The profit on each bottle of the sauce to 3.50 SAR and 3.25 SAR. You are supposed to prepare a report with the following Based on the computer solution of the LP model shown below, interpret the following: a. What is the optimal solution, and what is the value of the objective function? b. Which constraints are binding? c. Which constraint shows extra capacity? How much? d. If the profit for the spicy sauce is increased to 3.75 SAR per unit, would the optimal solution change? e. Identify the range of optimality for each objective function coefficient. f. Identify the range of feasibility for the right-hand-side values. g. If the units of sugar available for production is increased by 125 kilos, will the optimal value of the objective function change? Explain. Tastie Food Company has decided to come up with two variety of tomato sauce one that is spicy and another that is non-spicy. The variety of sauces are a blend of whole tomatoes, chili sauce and tomato paste. However, the two are blend differently such that they give the required taste. The spicy sauce is a blend of 45 percent whole tomatoes, 35 percent chili sauce, 15 percent of tomato paste and 5 percent of sugar. While the non-spicy sauce is a blend of 35percent of whole tomatoes, 10 percent of chili sauce, 25 percent of tomato paste and 30 percent of sugar. Each sauce bottle weighs 400 grams. To produce the two variety of sauce, the management has decided to purchase 525 kilos of whole tomatoes, 650 kilos of chili sauce, 100 kilos of tomato paste, and 250 kilos of sugar. The profit on each bottle of the sauce to 3.50 SAR and 3.25 SAR. You are supposed to prepare a report with the following Based on the computer solution of the LP model shown below, interpret the following: a. What is the optimal solution, and what is the value of the objective function? b. Which constraints are binding? c. Which constraint shows extra capacity? How much? d. If the profit for the spicy sauce is increased to 3.75 SAR per unit, would the optimal solution change? e. Identify the range of optimality for each objective function coefficient. f. Identify the range of feasibility for the right-hand-side values. g. If the units of sugar available for production is increased by 125 kilos, will the optimal value of the objective function change? Explain.
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Related Book For
Cornerstones of Cost Management
ISBN: 978-1285751788
3rd edition
Authors: Don R. Hansen, Maryanne M. Mowen
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