Question 3 Fred Jonasson manages a family-owned farm. To supplement several food products grown on the farm, Fred also raises pigs for market. He now wishes to determine the quantities of the available types of feed (corn, tankage, and alfalfa) that should be given to each pig. Since pigs will eat any mix of these feed types, the objective is to determine which mix will meet certain nutritional requirements at a minimum cost. The number of units of each type of basic nutritional ingredient contained within a kilogram of each feed type is given in the following table, along with the daily nutritional requirements and feed costs:
Question 3 Fred Jonasson manages a family-owned farm. To supplement several food products grown on the farm, Fred also raises pigs for market. He now wishes to determine the quantities of the available types of feed (corn, tankage, and alfalfa) that should be given to each pig. Since pigs will eat any mix of these feed types, the objective is to determine which mix will meet certain nutritional requirements at a minimum cost. The number of units of each type of basic nutritional ingredient contained within a kilogram of each feed type is given in the following table, along with the daily nutritional requirements and feed costs:
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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Transcribed Image Text:Question 3
Fred Jonasson manages a family-owned farm. To supplement several food products grown on the
farm, Fred also raises pigs for market. He now wishes to determine the quantities of the available types of
feed (corn, tankage, and alfalfa) that should be given to each pig. Since pigs will eat any mix of these
feed types, the objective is to determine which mix will meet certain nutritional requirements at a
minimum cost. The number of units of each type of basic nutritional ingredient contained within a
kilogram of each feed type is given in the following table, along with the daily nutritional requirements
and feed costs:
Nutritional
Ingredient
Carbohydrates
Protein
Vitamins
Cost
Kilogram Kilogram Kilogram Minimum
of
of
of
Daily
Corn Tankage
Alfalfa Requirement
90
30
10
$2.10
20
80
20
$1.80
Formulate a linear programming model for this problem.
40
60
60
$1.50
200
180
150
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