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A chef is famous for the three types of food (A, B, and C) he cooks. In preparing those...

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A chef is famous for the three types of food (A, B, and C) he cooks. In preparing those foods, he uses three main ingredient) (1, 3, and 3) and some specific recipe requirements. The daily availabilities and costs of per ingredient is given in the table below Ingredient 1 Food Available in kg 250 350 450 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: Selling Price of Food/kg (US Dollar) 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) Cost/kg (US Dollars) At least 25% of ingredient 2 At least 40% of ingredient 3 50 60 200 250 300 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)

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Mathematical Applications for the Management Life and Social Sciences

Mathematical Applications for the Management Life and Social Sciences

ISBN: 978-1305108042

11th edition

Authors: Ronald J. Harshbarger, James J. Reynolds

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Posted Date: August 17, 2023 00:54:00
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