Please solve and explain this :

Question 3: Consider the diet problem introduced in Example 1-4. Now you have a great variety of choices for foods from set F. The set of foods can be further divided into types of food, where T is the set of food types. For example, one type t of food is fresh foods (e.g., raw beef, raw shrimp, fresh vegetables, and fruits...); another type t of foods are processed foods (e.g., fried wings, canned beans, chocolate, chips); other examples of food types include meat, vegetables and snacks. You determine which foods belong to each category. You want to make sure that you have at least ry servings of food type t. Two types of food - meat and frozen - require storage in the freezer. A serving of food foccupies sf cubic inches of space; your freezer has a capacity of C cubic inches. You have a hard time exhibiting self-control, so you want to make sure that you purchase no more than N servings of snacks. Each serving of food f costs pf. To ensure that you have variety in your diet, you want to make sure that you eat no more than ug servings of any food. a. Develop an optimization model to help yourself to minimize the total food cost; clearly define any notation that you use. b. What type of an optimization problem is this? (LP, IP, MIP, etc.). Clearly explain your