3. Sweet Co. produces two types of candies; Energy candy and Happy candy. Ingredients for both candies are sugar, nuts and chocolate. Currently, the company has 100kg of sugar, 20kg of nuts and 30kg of chocolate in stock. The mixture of Energy candy contains at least 20% nuts. The mixture of Happy candy contains at least 10% nuts and 15% chocolate. Assume that one kg of each ingredient contributes one kg to the final candy product. Each kg of Energy candy can be sold at $25 and each kg of happy candy can be sold at $20. State your decision variables and formulate an linear programming (LP) to maximize the revenue. To solve this problem, I made such a formulation: Let E : the kgs of energy candy produced. H: the kgs of happy candy produced. Let ES;EN;EC be the Sugar, Nut, Chocolate used in Energy candy, similarly define HS;HN;HC as the Sugar, Nut, Chocolate used in Happy candy Then the LP of the problem is Max20E+25HSubjecttoE=ES+EN+ECH=HS+HN+HCES+HS100EN+HN20EC+HC30EEN0.20HHN0.10HHC0.15E+H150 However, as I am not an expert on LP programming, I am not very confident with my formulation. Please let me know if my formulation above is a correct and complete LP representation of the problem, i.e., state incorrect, unnecessary, and missing parts