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).

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Linear programming question

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
Туре
Regular Beef and pork combined should not exceed 10% of the mix
Selling Price per Pound
$0.90
Specifications
Total chicken should be at least 20% of the mix
Вeef
Not less than 75% beef
$1.25
All-meat No cereal additive
$1.75
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).
Transcribed Image Text: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 Туре Regular Beef and pork combined should not exceed 10% of the mix Selling Price per Pound $0.90 Specifications Total chicken should be at least 20% of the mix Вeef Not less than 75% beef $1.25 All-meat No cereal additive $1.75 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).
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