Question (25 points) A chef is famous for the three types of food (A, B, and C) he cooks. In preparing those foods, he uses three main ingredients (1, 2, and 3) and some specific recipe requirements. The daily availabilities and costs of per ingredient is given in the table below: Ingredient Food A B 1 2 3 Available in kg The chef is extremely careful about the meeting the recipe requirements, therefore there are some limits on the percentages of the each ingredient in food. The selling prices and the percentage limits are given in the following table: 250 350 450 Ingredient Requirement At most 30% of ingredient 1 At least 20% of ingredient 2 At most 45% of ingredient 1 At most 15% of ingredient 3 Cost/kg (US Dollars) At least 25% of ingredient 2 At least 40% of ingredient 3 40 50 60 Selling Price of Food/kg (US Dollars) 200 250 300 In addition, to meet the demand for the customers, he wants to produce at least 200 kg of each food type. The chef wants to determine the optimal blend of the ingredients that will maximize his profit. Formulate a linear programming model for this problem. (Just provide the linear programming model) U P + Ne New C

A chef is famous for the three types of food (A, B, and C) he cooks. In preparing those foods, he uses three main ingredients (1, 2, and 3) and some specific recipe requirements. The daily availabilities and costs of per ingredient is given in the table below: The chef is extremely careful about the meeting the recipe requirements, therefore there are some limits on the percentages of the each ingredient in food. The selling prices and the percentage limits are given in the following table; In addition, to meet the demand for the customers, he wants to produce at least 200kg of cach food type. The chef wants to determine the optimal blend of the ingredients that will maximize his prohi. Formalate a linear programming model for this problem. (Just provide the linear programming model)