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OPERATIONS MANAGEMENT 1. Write a linear programming model that represents the diet problem of NM Co. Explain parameters, variables, constraints and objective function 5 Products : A, B, C, D, E A : corn B : milk C : bread D : French fries E : ice cream Parameters : the quantities of each vitamins and of calories provided by 100 grams of each type of food (see table 1) the price of 100 grams of each type of food (see table 1) the diet requirements for one person (see table 2) Variables : xa : the amount of corn that will be put in the menu xb : the amount of milk that will be put in the menu xc : the amount of bread that will be put in the menu xd : the amount of French fries that will be put in the menu xe : the amount of ice cream that will be put in the menu (units : 100grams) Linear Objective Function : Min 357xa+234xb+100xc+80xd+183xe We want to minimize the cost of the menue. Constraints : The menu must provide an amount of calories of between 1764 and 2550 150xa+198xb+300xc+600xd+495xe1764 (c2) The menue must provide an amount of vitamin A, B and C respectively over 10100, 15000 and 18000. 2940xa+4000xb+7070xc+606xd+1176xe>10100 (c3) 4410xa+9090xb+10100cx+980xd+787xe>15000 (c4) 6060xa+3060xb+1020xc+495xd+1040xe>18000 (c5) - The menue must weight between 332 and 624 grams. (xa+xb+xc+xd+xe)*100332,5 (c7) 2. Solve your model by using Excel Solver. Provide the optimal solution and the costs associated to such solution. The optimal solution is to put in the menu 277 grams of corn, 8 grams of bread and 220 grams of French fries. It respects every nutritional constraint and the menu costs as little as possible.

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