Rome Petshop uses 3 different ingredients to manufacture 4 types ofdog food. These 3 ingredients are protein, fat, and grains. RomePetshop has 1000 pounds of protein, 750 pounds of fat, and 450pounds of grains in its inventory for August 2020production.
The four types are dogfood and their specifications are asfollows.
Puppy-Love: At least 40% is protein, at least 30% is fat, no morethan 10% is grain.
Muscle-Pooch: At least 55% is protein, no more than 15% isfat
Adult-K-nine: At least 30% is protein, at least 25% isgrain
Senior-General: At least 30% is grain Ă‚Â Ă‚Â
Each pound of Puppy-Love, Muscle-Pooch, Adult-K-Nine,Senior-General can bring in profit of $28, $33, $20, and $25,respectively. Since Muscle-Pooch was recently selected as the best pet food by aninternational pet magazine, it has a very high sales demand. Thus,at least 355 pounds of Muscle-Pooch must be manufactured. RomePetshop need to find the most profitable way to manufacture thesefour types of dog food.
1. Clearly define your decision variables and use these variablesto set up a linear programming model for Rome Petshop’s August 2020production problem
