Suppose we have complete freedom over the organisation of our ten-hour day. The options are the following wher HL denotes our happiness level, STB the short term benefit and LTB the long term benefit: LTB (per hour) Option Part-time job HL (per hour) STB (per hour) -2 1 Study for university 1 -1 4 Play sports/do workout 4 1 -1 1a) 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 t ten hours in order to achieve this goal? Justify your answer. 1b) Suppose on Wednesday we are tired from a two-day long shift and we need our happiness level to be equal o +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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter3: Linear And Nonlinear Functions
Section3.7: Piecewise And Step Functions
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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:
HL (per hour) STB (per hour) LTB (per hour)
Option
Part-time job
-2
1
Study for university
1
-1
4
Play sports/do workout
4
1
-1
1a) 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.
1b) 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.
Transcribed Image Text: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: HL (per hour) STB (per hour) LTB (per hour) Option Part-time job -2 1 Study for university 1 -1 4 Play sports/do workout 4 1 -1 1a) 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. 1b) 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.
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