The Adelaide University Judo Club offers 2 fitness programs to enhance player fitness performance leading up for the upcoming regional championships in 12 weeks. In programme A, Coach A coaches for a period of 2 hours on the components of endurance and agility, Coach B coaches for power and speed training for 4 hours and Coach C coaches for coordination and balance for 2 hours. In programme B, Coach A 6 hours of training, Coach B trains for 3 hours and Coach C trains for 4 hours. Coach A is available for a minimum of 10 hours and a maximum of 36 hours. Coach B is limited to train for a maximum of 24 hours whereas Coach C is contracted to train for a minimum of 8 hours. Program A costs $75 per session and program B costs $125 per session. The head coach aims to minimise the cost while satisfying the requirements of the three coaches respectively. 1. Construct a table showing: ● ● the number of the elements required for each item the amount of each element available or the minimum requirements of each element. 2. State the objective function and determine the constraints for each element. 3. Produce a labelled graph showing the feasible region. 4. Find the optimal solution by considering the feasible points. 5. Determine the wastage, oversupply and underutilisation of elements for the optimal solution.
The Adelaide University Judo Club offers 2 fitness programs to enhance player fitness performance leading up for the upcoming regional championships in 12 weeks. In programme A, Coach A coaches for a period of 2 hours on the components of endurance and agility, Coach B coaches for power and speed training for 4 hours and Coach C coaches for coordination and balance for 2 hours. In programme B, Coach A 6 hours of training, Coach B trains for 3 hours and Coach C trains for 4 hours. Coach A is available for a minimum of 10 hours and a maximum of 36 hours. Coach B is limited to train for a maximum of 24 hours whereas Coach C is contracted to train for a minimum of 8 hours. Program A costs $75 per session and program B costs $125 per session. The head coach aims to minimise the cost while satisfying the requirements of the three coaches respectively. 1. Construct a table showing: ● ● the number of the elements required for each item the amount of each element available or the minimum requirements of each element. 2. State the objective function and determine the constraints for each element. 3. Produce a labelled graph showing the feasible region. 4. Find the optimal solution by considering the feasible points. 5. Determine the wastage, oversupply and underutilisation of elements for 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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1. Construct a table showing:
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Subtitle
The Adelaide University Judo Club offers 2 fitness programs to enhance player fitness performance leading up for the upcoming
regional championships in 12 weeks.
Title
In programme A, Coach A coaches for a period of 2 hours on the components of endurance and agility, Coach B coaches for power
and speed training for 4 hours and Coach C coaches for coordination and balance for 2 hours.
In programme B, Coach A 6 hours of training, Coach B trains for 3 hours and Coach C trains for 4 hours.
Coach A is available for a minimum of 10 hours and a maximum of 36 hours.
Coach B is limited to train for a maximum of 24 hours whereas Coach C is contracted to train for a minimum of 8 hours.
Program A costs $75 per session and program B costs $125 per session.
The head coach aims to minimise the cost while satisfying the requirements of the three coaches respectively.
• the number of the elements required for each item
the amount of each element available or the minimum requirements of each element.
2. State the objective function and determine the constraints for each element.
3. Produce a labelled graph showing the feasible region.
4. Find the optimal solution by considering the feasible points.
5. Determine the wastage, oversupply and underutilisation of elements for the optimal solution.
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Focus
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