In its average daily food consumption, a predatory animal needs 10 units of nutrient A, 12 units of nutrient B and 12 units of nutrient C. These requirements are satisfied by hunting two types of species. A species I prey supplies 5, 2 and 1 units of nutrients A, B and C, respectively. A species II prey provides 1, 2 and 4 units of nutrients A, B and C, respectively. Capturing and digesting a species I prey requires 3 units of energy on average. The corresponding energy expenditure for species II is 2 units. Formulate a Linear Programming model that is useful to determine how many preys of each species the predator must capture to satisfy its nutritional needs while spending minimal energy. Gets the standard form and canonical system Perform each step of the simplex method with artificial variables in tabular form to obtain an optimal solution. Include tables from all iterations. Interpret the optimal solution.
In its average daily food consumption, a predatory animal needs 10 units of nutrient A, 12 units of nutrient B and 12 units of nutrient C. These requirements are satisfied by hunting two types of species. A species I prey supplies 5, 2 and 1 units of nutrients A, B and C, respectively. A species II prey provides 1, 2 and 4 units of nutrients A, B and C, respectively. Capturing and digesting a species I prey requires 3 units of energy on average. The corresponding energy expenditure for species II is 2 units. Formulate a Linear Programming model that is useful to determine how many preys of each species the predator must capture to satisfy its nutritional needs while spending minimal energy. Gets the standard form and canonical system Perform each step of the simplex method with artificial variables in tabular form to obtain an optimal solution. Include tables from all iterations. Interpret the optimal solution.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:In its average daily food consumption, a predatory animal needs 10 units of nutrient A, 12 units
of nutrient B and 12 units of nutrient C. These requirements are satisfied by hunting two types of
species. A species I prey supplies 5, 2 and 1 units of nutrients A, B and C, respectively. A species II
prey provides 1, 2 and 4 units of nutrients A, B and C, respectively. Capturing and digesting a
species I prey requires 3 units of energy on average. The corresponding energy expenditure for
species II is 2 units. Formulate a Linear Programming model that is useful to determine how
many preys of each species the predator must capture to satisfy its nutritional needs while
spending minimal energy.
Gets the standard form and canonical system
Perform each step of the simplex method with artificial variables in tabular form to obtain an
optimal solution. Include tables from all iterations.
Interpret the optimal solution.
*Please be as clear and legible as possible. Show and explain in detail each step. Thank you a lot.
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