please solve this question form course : nonlinear programming(operation research)

Problem \#1 Hammond is plaming to start a diet peogram. Following are the main ingredients of his diet: milk. brcad, rice, eges, vegetables, chicken, lamb, fish, halawa, and ice-cream. The related information of the ingredients are given as follown: Following are the main restriction of his diet plan for a given meal: (i) The total calories intake per meal shoukl be 80050. (ii) The total protein intake per meal shoold 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 bresd and ezes nust be part of the meal. (vi) If lumb of chicioen is taken is the meal, thes fish should not be taken in that meal. (vii) If brevd and eggs are part of the meal, then milk must be part of that meal. (ix) Chicken, lamb and fish cannot be in oue meal. (x) No main ingredient mast be taken mote than two time is a day. Now, asumst the following: (a) Define a varialile that captures the aumber of units of the main ingredients. and relate it to the perions warialse. (d) Using the now of old variable, beilh the rest of the cotetrnints. (e) If the goal is find a meal with lownst tetal cost, then define the cormsponding ohjection function. - The diet plan is fur a month (3o days), where eude day should contain (3) moak. - The goal is to reduce the total coet for oue month diet pian. - Restriction (i) to (viii) are applicable for earh meal. the entare madel. 1 Note: In Part (f), arnite an implicit model, thet is, we summation () and chameration (v) symbols. whenever passible. For summation symbol, spocify the limits of the summation. If you nse enwmeration symbol, made sue the index mange is clourly defined in jour solation. 1