LEAST-COST FISH FEED MIX PROBLEM The manager of a fish production facility wants to formulate a fish feed mix using limited available feed ingredients while satisfying feed nutrient and feed ingredient constraints, as shown below: Feed Ingredient Analysis Digestible Energy (DE), Mcal/kg Cost, $/kg Protein, % Calcium, % Ingredient Cornmeal 2.15 9. 1.1 0.02 Fishmeal 8.00 65 3.9 3.7 Soymeal Ricebran 6.00 44 2.57 0.3 2.00 12 1.99 0.1 Limestone 0.40 38
LEAST-COST FISH FEED MIX PROBLEM The manager of a fish production facility wants to formulate a fish feed mix using limited available feed ingredients while satisfying feed nutrient and feed ingredient constraints, as shown below: Feed Ingredient Analysis Digestible Energy (DE), Mcal/kg Cost, $/kg Protein, % Calcium, % Ingredient Cornmeal 2.15 9. 1.1 0.02 Fishmeal 8.00 65 3.9 3.7 Soymeal Ricebran 6.00 44 2.57 0.3 2.00 12 1.99 0.1 Limestone 0.40 38
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Could you please explain each step with equations so I can learn from that?
The manager uses the available information on fish nutritional requirements and feed production practices to create a list of constraints.
Constraints (for feed nutrients and feed mix ingredients)
(1) Total weight of feed mix = 100 kg
(2) Total protein, at least 30 kg
(3) Total digestible energy, at least 250 Mcal
(4) Total calcium, at least 0.5 kg
(5) Total calcium, not more than 1.5 kg
(6) Amount of fishmeal in the feed mix, at least 8 kg
(7) Amount of ricebran in the feed mix, not more than 20 kg
(8) The total cost of the feed mix to be minimal.
A) Write the LP model
B) Solve for the amount of ingredients in 100 Kg of fish feed mix
C) Solve for minimum cost of 100 Kg of fish feed mix
D) Solve for the amounts of nutrients used (Constraints)
Transcribed Image Text:LEAST-COST FISH FEED MIX PROBLEM
The manager of a fish production facility wants to formulate a fish feed mix using limited available feed ingredients while satisfying feed nutrient and
feed ingredient constraints, as shown below:
Feed Ingredient Analysis
Digestible Energy
(DE), Mcal/kg
Cost, $/kg
Protein, %
Calcium, %
Ingredient
Cornmeal
2.15
9
1.1
0.02
Fishmeal
8.00
65
3.9
3.7
Soymeal
Ricebran
Limestone
6.00
44
2.57
0.3
2.00
12
1.99
0.1
0.40
38
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