Question
The Food Haven company is going to introduce a packaged cereal as a new product with the code name ZSDA - 2. The ingredients for
The Food Haven company is going to introduce a packaged cereal as a new product with the code name ZSDA - 2. The ingredients for the cereal are Sesame Seeds, Sultana Raisins, Rice Flakes, Almonds, and Dried Prunes. Each ingredient contains certain amounts of Vitamins, Minerals, Protein, and Calories per pound. The Nutrition Research department has specified that the product be designed so that a certain nutritional profile (in terms of amount per pound) is met:
- The amount of Vitamins should be at least 1010 g.
- The amount of Minerals should be minimum 1010 g.
- The amount of Proteinshould be no less than 1515 g.
- The number of Calories should be equal to or greater than 600600 .
The specialists of Marketing department including Humber graduates Mohamed, Darin, Megan should determine the optimal product composition that will minimize the product cost per pound. The data shown below (and the link to the Excel file) summarize the parameters of the problem. Every component line shows the quantities per pound. Note that NR means Nutritional Requirement.
Components Sesame Sultana Rice Dried Seeds Raisins Flakes Prunes mun\"- mm- mm ----n- Download CSV (a) The model requires the following decision variables: Om\" : gramms of componenti in ingredient j 0:131 = Sesame Seeds, m2 = Sultana Raisins, m3 = Rice Flakes, 3:4 = Almonds, m5 : Dried Prunes Ox,- 2 cost of ingredient 2' per pound 0331 = Vitamins, :92 2 Minerals, :33 2 Protein, 334 = Calories 0 None of the above. (b) The objective function for this problem is: Select an answer maximize minimize + 10x2 + 15x3 + 600x4 OZ = 3.32x1 + 4.1x2 + 4.05x3 + 6.15x4 + 4.25x5 OZ = 3.32x11 + 4.1X222 + 4.05x22 + 6.15x33 + 4.25x44 OZ = 10x11 + 10X22 + 15x33 + 600x44 O None of the above. (c) Please choose the correct Vitamins constraint: 0 2.03x1 + 4.07x2 + 5.03x3 + 4.11x4 + 4.89x5 2 10 Ox1 + 2+ 23+ 24+ 25 10 O None of the above.(d) Please choose the correct Minerals constraint: O each X2j > 10 04x1 + 5x2 + 3.05x3 + 8.03x4 + 2.16x5 2 10 04.07x1 + 5x2 + 4.05x3 + 451x4 15 Ox1 + 22 + 23+ 24+ 25Step by Step Solution
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