10i13i22,3'01PIvI IDEAS The Healthy Breakfast company is going to introduce a packaged box of granola bars as a new product with the code name ZRDA 5. The ingredients for the box of granola bars are Pumpkin Seeds, Thompson Raisins, Coconut Flakes, Walnuts, and Dried Dates. 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: 1. The amount of Vitamins should be no less than 12 g. 2. The amount of Minerals should be at least 10 g. 3. The amount of Protein should be equal to or greater than 15 g. 4. The number of Calories should be minimum 600. The specialists of Marketing department including Humber graduates Danylo, Simranpreet, Mekeda 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 Pumpkin Thompson Coconut Dried Seeds Raisins Dates m m m ----- Download CSV (a) The model requires the following decision variables: :3, : cost of ingredient 2' per pound {cij : gramms of component i in ingredientj :31 : Vitamins, :32 : Minerals, :33 : Protein, :34 : Calories 371 : Pumpkin Seeds, m2 : Thompson Raisins, m3 : Coconut Flakes, 9:4 : Walnuts, 3:5 : Dried Dates httpside as llumberraiassessZcidz'iQoSz aid=2792 2#fprj11t 10/13/22, 3:01 PM IDEAS O None of the above. (b) The objective function for this problem is: minimize OZ = 3.47x1 + 4.35x2 + 4.79x3 + 6.19x4 + 5.23x5 OZ = 12x1 + 10x2 + 15x3 + 600x4 OZ = 12x11 + 10x22 + 15x33 + 600244 OZ = 3.47x11 + 4.35x222 + 4.79x22 + 6.19x33 + 5.23x44 O None of the above. (c) Please choose the correct Vitamins constraint: O each x1j > 12 2.74x1 + 3.23x2 + 3.05x3 + 497x4 10 Ox1 + 22 + 23 + 24+ 25 15 04.89x1 + 3x2 + 7.65x3 + 168x4 5 15 Ox1 + 22+ 23 + 4+ 25 15 O None of the above. (f) Please choose the correct Calories constraint: 497x1 + 451x2 + 168x3 + 293x4 + 510x5 > 600 O each x4j > 600 Ox1 + 2+ 3 + 24+ 25