A pet daycare facility offers pet sitting services where owners can drop off their pets for training and socializing with other pets. To feed the pets, the daycare makes two types of pet food. A bag of freeze-dried nuggets costs $7.99 and contains 21 units of proteins, 4 units of fiber, and 15 units of fat. A bag of dehydrated nuggets costs $11.26 and contains 28 units of proteins, 7 units of fiber, and 20 units of fat. The minimum daily requirements are usually 200 units of protein, 75 units of fiber, and 220 units of fat. Formulate the information as an LP problem and answer the following questions. How many bags of freeze-dried nuggets and dehydrated food should the facility make each day to minimize the total cost? What is the lowest cost? Identify the binding and non-binding constraints and report the surplus values.

A pet daycare facility offers pet sitting services where owners can drop off their pets for training and socializing with other pets. To feed the pets, the daycare makes two types of pet food. A bag of freeze-dried nuggets costs $7.99 and contains 21 units of proteins, 4 units of fiber, and 15 units of fat. A bag of dehydrated nuggets costs $11.26 and contains 28 units of proteins, 7 units of fiber, and 20 units of fat. The minimum daily requirements are usually 200 units of protein, 75 units of fiber, and 220 units of fat. Formulate the information as an LP problem and answer the following questions. How many bags of freeze-dried nuggets and dehydrated food should the facility make each day to minimize the total cost? What is the lowest cost? Identify the binding and non-binding constraints and report the surplus values.

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 107P

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