(table is the image attached) (a)  Suppose on Monday we just require a happiness level equal to +1 (since we enjoyed our weekend), and we require a total short-term benefit equal to +24 and long-term benefit equal to +15. Can we find a way to schedule the ten hours in order to achieve this goal? Justify your answer. (b)  Suppose on Wednesday we are tired from a two-day long shift and we need our happiness level to be equal to +13, together with a short-term benefit equal to +8 and long-term benefit equal to +19. Can we find a way to schedule the ten hours in order to achieve this goal? Justify your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Day planning
Suppose we have complete freedom over the organisation of our ten-hour day. The options are the following where HL denotes our happiness level, STB the short term benefit and LTB the long term benefit:

 

(table is the image attached)

  1. (a)  Suppose on Monday we just require a happiness level equal to +1 (since we enjoyed our weekend), and we require a total short-term benefit equal to +24 and long-term benefit equal to +15. Can we find a way to schedule the ten hours in order to achieve this goal? Justify your answer.

  2. (b)  Suppose on Wednesday we are tired from a two-day long shift and we need our happiness level to be equal to +13, together with a short-term benefit equal to +8 and long-term benefit equal to +19. Can we find a way to schedule the ten hours in order to achieve this goal? Justify your answer.

Option
Part-time job
Study for university
Play sports/do workout
HL (per hour) STB (per hour) LTB (per hour)
-2
5
1
-1
4
1
-1
1
4
Transcribed Image Text:Option Part-time job Study for university Play sports/do workout HL (per hour) STB (per hour) LTB (per hour) -2 5 1 -1 4 1 -1 1 4
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