Happy Dog Inc. produces three types of dog food. Puppy Blend is produced for dogs that are
Question:
Happy Dog Inc. produces three types of dog food. Puppy Blend is produced for dogs that are less than a year old, Adult Blend for dogs between 1 and 8 years old, and Geriatric Blend for dogs older than 8 years. Each blend, sold in 5-pound bags, has a unique recipe that requires, among other ingredients, exact quantities of certain raw materials.
a. Formulate a linear programming model that produces as many bags of dog food as possible without exceeding the demand or the available supply of raw material.
b. Reformulate the linear programming model if the company is now interested in maximizing their profit (price - raw material cost) from dog food production.
Assume that Puppy Blend sells for $9.50 per bag, Adult Blend sells for $8.50 per bag, and Geriatric Blend sells for $9.00 per bag. Further, chicken costs $2.50 per pound, fish meal costs $1.25 per pound, and soy flour costs $2.00 per pound. How does this new information change your linear programming model?
Step by Step Answer:
Operations Management Processes and Supply Chains
ISBN: 978-0134741062
12th edition
Authors: Lee J. Krajewski, Manoj K. Malhotra, Larry P. Ritzman