Linear programming question 1. Washimore Meats To Eat (WMTE) produces three types of hot dogs: regular, beef, andall-meat. The hot dogs are made from some or all of the following ingredients: chicken,beef, pork, and a cereal additive. WMTE has the following amounts of each ingredientavailable on a daily basis.IngredientChickenPounds per Day Cost per Pound$0.20$0.30$0.50$0.05200Вeef300Pork150Cereal Additive400Each type of hot dog has certain ingredient specifications, as followsТуреRegular Beef and pork combined should not exceed 10% of the mixSelling Price per Pound$0.90SpecificationsTotal chicken should be at least 20% of the mixВeefNot less than 75% beef$1.25All-meat No cereal additive$1.75Beef and pork combined should not exceed 50% of the mix(a) Formulate a linear programming model to determine the makeup of a batch of eachtype of hot dog that maximize profits (revenues from sales minus costs). Let xijrepresent the pounds of ingredient i in a batch of hot dog type j. (A batch is thetotal of the ingredients used to make a particular hot dog type.)(b) Solve the model in part (a) using Matlab (or other software).

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1. Washimore Meats To Eat (WMTE) produces three types of hot dogs: regular, beef, and all-meat. The hot dogs are made from some or all of the following ingredients: chicken, beef, pork, and a cereal additive. WMTE has the following amounts of each ingredient available on a daily basis. Ingredient Chicken Pounds per Day Cost per Pound $0.20 $0.30 $0.50 $0.05 200 Вeef 300 Pork 150 Cereal Additive 400 Each type of hot dog has certain ingredient specifications, as follows Specifications Selling Price per Pound Туре Regular Beef and pork combined should not exceed 10% of the mix $0.90 Total chicken should be at least 20% of the mix $1.25 $1.75 Beef Not less than 75% beef All-meat No cereal additive Beef and pork combined should not exceed 50% of the mix (a) Formulate a linear programming model to determine the makeup of a batch of each type of hot dog that maximize profits (revenues from sales minus costs). Let xij represent the pounds of ingredient i in a batch of hot dog type j. (A batch is the total of the ingredients used to make a particular hot dog type.) (b) Solve the model in part (a) using Matlab (or other software).

1. Washimore Meats To Eat (WMTE) produces three types of hot dogs: regular, beef, and all-meat. The hot dogs are made from some or all of the following ingredients: chicken, beef, pork, and a cereal additive. WMTE has the following amounts of each ingredient available on a daily basis. Ingredient Chicken Pounds per Day Cost per Pound $0.20 $0.30 $0.50 $0.05 200 Вeef 300 Pork 150 Cereal Additive 400 Each type of hot dog has certain ingredient specifications, as follows Specifications Selling Price per Pound Туре Regular Beef and pork combined should not exceed 10% of the mix $0.90 Total chicken should be at least 20% of the mix $1.25 $1.75 Beef Not less than 75% beef All-meat No cereal additive Beef and pork combined should not exceed 50% of the mix (a) Formulate a linear programming model to determine the makeup of a batch of each type of hot dog that maximize profits (revenues from sales minus costs). Let xij represent the pounds of ingredient i in a batch of hot dog type j. (A batch is the total of the ingredients used to make a particular hot dog type.) (b) Solve the model in part (a) using Matlab (or other software).

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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