Write the complete mathematical formulation with the following modifications: The diet plan is for a month (30 days), where each day should contain (3) meals. The goal is to reduce the total cost for one month diet plan. Restriction (i) to (viii) are applicable for each meal. A main ingredient should not be included in all the three meal of a day. Every main ingredient should be taken at-least once per 5 days. + Note: You may need to update the variable definitions and define parameters, in-order to rewrite the entire model. Hammoud is planning to start a diet program. Following are the main ingredients of his diet: milk, bread, rice, eggs, vegetables, chicken, lamb, fish, halawa, and ice-cream. The related information of the inorediente are oiven as followe. Following are the main restriction of his diet plan for a given meal: (i) The total calories intake per meal should be 80050. (ii) The total protein intake per meal should be 6010. (iii) The total fiber intake per meal should be 155. (iv) He cannot eat more than three types of main ingredients in a meal. (v) If milk is taken in the meal, then bread and eggs must be part of the meal. (vi) If lamb or chicken is taken in the meal, then fish should not be taken in that meal. (vii) If bread and eggs are part of the meal, then milk must be part of that meal. (viii) Either halawa is included or ice-cream is included in the meal (but not both). (ix) Chicken, lamb and fish cannot be in one meal. (x) No main ingredient must be taken more than two time in a day