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
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 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: 

 

Kilogram Kilogram Kilogram Minimum
of
Daily
Requirement
Nutrional
Ingredient
Carbohydrates 90
30
10
\$2.10
Protein
Vitamins
Cost
of
Corn
of
Tankage Alfalfa
40
60
60
\$1.50
20
80
20
\$1.80
200
180
150
Transcribed Image Text:Kilogram Kilogram Kilogram Minimum of Daily Requirement Nutrional Ingredient Carbohydrates 90 30 10 \$2.10 Protein Vitamins Cost of Corn of Tankage Alfalfa 40 60 60 \$1.50 20 80 20 \$1.80 200 180 150
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