Company H pays P6,500 per month plus a monthly bonus of P500 per month. However, the bonus will be received by Diane only after working 5 years. If she quits before 5 years, she will not receive the bonus. Company K pays P6,900 per month but offers no bonus. Company M pays P6,350 per month and gives a one-time bonus of P31,875 at the end of 2 years and 11 months or 35 months. Task: a) for each company, define a function that represents the amount of money Diane will receive after m months. b) Determine which job is best for Diane. Explain logically and in a mathematical way the reason why?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...
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Company H pays P6,500 per month plus a monthly bonus of P500 per
month.However, the bonus will be received by Diane only after working 5 years. If
she quits before 5 years, she will not receive the bonus. Company K pays P6,900
per month but offers no bonus. Company M pays P6,350 per month and gives a
one-time bonus of P31,875 at the end of 2 years and 11 months or 35 months.
Task:
a) for each company, define a function that represents the amount of money
Diane will receive after m months.
b) Determine which job is best for Diane. Explain logically and in a
mathematical way the reason why?
Transcribed Image Text:Company H pays P6,500 per month plus a monthly bonus of P500 per month.However, the bonus will be received by Diane only after working 5 years. If she quits before 5 years, she will not receive the bonus. Company K pays P6,900 per month but offers no bonus. Company M pays P6,350 per month and gives a one-time bonus of P31,875 at the end of 2 years and 11 months or 35 months. Task: a) for each company, define a function that represents the amount of money Diane will receive after m months. b) Determine which job is best for Diane. Explain logically and in a mathematical way the reason why?
Situation:
Diane is a freshmen accounting student and is determined to finish her
course in 5 year time at all costs. So she planned it carefully. As her parents cannot
assure her financially for her schooling, Diane decided to work part time to pay her
school fees. She had been working at Company H for 2 years and 1 month now
when suddenly she was offered a job in another two companies ,Company K and
Company M. She must make a decision immediately whether to stay in Company
H or to transfer to Company K or Company M.
Company H pays P6,500 per month plus a monthly bonus of P500 per
month.However, the bonus will be received by Diane only after working 5 years. If
she quits before 5 years, she will not receive the bonus. Company K pays P6,900
per month but offers no bonus. Company M pays P6,350 per month and gives a
one-time bonus of P31,875 at the end of 2 years and 11 months or 35 months.
Task:
Transcribed Image Text:Situation: Diane is a freshmen accounting student and is determined to finish her course in 5 year time at all costs. So she planned it carefully. As her parents cannot assure her financially for her schooling, Diane decided to work part time to pay her school fees. She had been working at Company H for 2 years and 1 month now when suddenly she was offered a job in another two companies ,Company K and Company M. She must make a decision immediately whether to stay in Company H or to transfer to Company K or Company M. Company H pays P6,500 per month plus a monthly bonus of P500 per month.However, the bonus will be received by Diane only after working 5 years. If she quits before 5 years, she will not receive the bonus. Company K pays P6,900 per month but offers no bonus. Company M pays P6,350 per month and gives a one-time bonus of P31,875 at the end of 2 years and 11 months or 35 months. Task:
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