The head coach of Adelaide University Judo Club has designed two training programs to prepare their judokas for the upcoming regional championship taking place in sixteen weeks. Throughout the sixteen-week training period, three Judo coaches have been assigned to closely monitor each player's progress, adjust their training program as needed, and provide additional support and guidance to ensure that they are fully prepared for the regional championship. In programme A, Dylan designated a period of 2 hours on endurance and agility, incorporating long distance running, jump rope drills, and footwork exercises whereas Jason coaches for power and speed training for the duration of 4 hours which requires judokas to perform explosive movements such as polymetric jumps, sprints and deadlifts. On the other hand, Kai coaches for coordination and balance for the duration of 2 hours, which emphasises the fundamentals of Judo, such as breakfalls and isotonic movements. In programme B, the time period endurance and agility component increase by an additional 4 hours of training, the power and speed component reduce by 1 hour and the coordination and balance component increase by 2 hours of additional training. Program A costs $75 per week and Program B costs $107 per week. Dylan is available for a minimum of 10 hours and a maximum of 36 hours. Jason is limited to train for a maximum of 24 hours whereas Kai is contracted to train for a minimum of 8 hours. The head coach aims to maximise the profit while satisfying each coach's legal working hours requirements. Minimum requirement/ Maximum Availability 2 hours/6 hours 4 hours/3 hours 2 hours/4 hours Element Endurance & Agility Power & Speed Coordination and balance . Coaching Hours Dylan Jason ≤24 28 Minimum requirement/ Maximum Availability Program A 21036 hours 2 hours Program A 2 hours 4 hours 2 hours Kai The objective function is to maximise profit. 4 hours 2 hours Program B 6 hours 3 hours 4 hours Program B 6 hours 3 hours 4 hours
The head coach of Adelaide University Judo Club has designed two training programs to prepare their judokas for the upcoming regional championship taking place in sixteen weeks. Throughout the sixteen-week training period, three Judo coaches have been assigned to closely monitor each player's progress, adjust their training program as needed, and provide additional support and guidance to ensure that they are fully prepared for the regional championship. In programme A, Dylan designated a period of 2 hours on endurance and agility, incorporating long distance running, jump rope drills, and footwork exercises whereas Jason coaches for power and speed training for the duration of 4 hours which requires judokas to perform explosive movements such as polymetric jumps, sprints and deadlifts. On the other hand, Kai coaches for coordination and balance for the duration of 2 hours, which emphasises the fundamentals of Judo, such as breakfalls and isotonic movements. In programme B, the time period endurance and agility component increase by an additional 4 hours of training, the power and speed component reduce by 1 hour and the coordination and balance component increase by 2 hours of additional training. Program A costs $75 per week and Program B costs $107 per week. Dylan is available for a minimum of 10 hours and a maximum of 36 hours. Jason is limited to train for a maximum of 24 hours whereas Kai is contracted to train for a minimum of 8 hours. The head coach aims to maximise the profit while satisfying each coach's legal working hours requirements. Minimum requirement/ Maximum Availability 2 hours/6 hours 4 hours/3 hours 2 hours/4 hours Element Endurance & Agility Power & Speed Coordination and balance . Coaching Hours Dylan Jason ≤24 28 Minimum requirement/ Maximum Availability Program A 21036 hours 2 hours Program A 2 hours 4 hours 2 hours Kai The objective function is to maximise profit. 4 hours 2 hours Program B 6 hours 3 hours 4 hours Program B 6 hours 3 hours 4 hours
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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Question
Determine the constraints for each element.
Transcribed Image Text:The head coach of Adelaide University Judo Club has designed two training programs to prepare their judokas for the
upcoming regional championship taking place in sixteen weeks.
Throughout the sixteen-week training period, three Judo coaches have been assigned to closely monitor each player's
progress, adjust their training program as needed, and provide additional support and guidance to ensure that they are
fully prepared for the regional championship.
In programme A, Dylan designated a period of 2 hours on endurance and agility, incorporating long distance running,
jump rope drills, and footwork exercises whereas Jason coaches for power and speed training for the duration of 4 hours
which requires judokas to perform explosive movements such as polymetric jumps, sprints and deadlifts. On the other
hand, Kai coaches for coordination and balance for the duration of 2 hours, which emphasises the fundamentals of Judo,
such as breakfalls and isotonic movements.
In programme B, the time period endurance and agility component increase by an additional 4 hours of training, the
power and speed component reduce by 1 hour and the coordination and balance component increase by 2 hours of
additional training.
.
Program A costs $75 per week and Program B costs $107 per week.
Dylan is available for a minimum of 10 hours and a maximum of 36 hours.
Jason is limited to train for a maximum of 24 hours whereas Kai is contracted to train for a minimum of 8 hours.
The head coach aims to maximise the profit while satisfying each coach's legal working hours requirements.
Minimum requirement/ Maximum Availability
2 hours/6 hours
4 hours/3 hours
2 hours/4 hours
Element
Endurance & Agility
Power & Speed
Coordination and balance
Coaching Hours
Dylan
Jason
Program A
2 hours
4 hours
2 hours
Minimum requirement/ Maximum Availability Program A
21036 hours
2 hours
4 hours
2 hours
≤ 24
Kai
28
The objective function is to maximise profit.
Program B
6 hours
3 hours
4 hours
Program B
6 hours
3 hours
4 hours
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