Question 1 (30 points) Rohan is putting together a high-ener…
Question 1 (30 points) Rohan is putting together a high-energy trail mix for his next hiking trip. At the grocery store, he can buy three items, peanuts, raisins, and chocolate candies by the ounce for his mix. The items cost $0.6, $0.1, and $0.2 per ounce, respectively. Each ounce of item provides 10, 15, and 17 g grams of protein, and 20, 7, and 12 of sugar, respectively. His mix should include at least 300 g of protein and 50 g of sugar. It should not exceed 70 g of sugar. Formulate a linear program to help Rohan decide the composition of his mix that minimizes cost. (You need to write all the decision variables, objective, and constraints and explain/describe EACH of them in your answer. You do NOT need to write out the parameters in this numerical example.)