as
part time job.
Situation:
Dianne is a freshman accountancy student and is very concerned about her academic career. So she
planned it carefully. She decided to finish her bachelor's degree in 5 years. Since her parents are not well-
off, she tried her best to find a part-time job that will allow her to pay her school fees and other expenses.
Fortunately, she found one at Company x which gives her a guarantee for five years. After working at
company X for 2 years and 1 month, she received two other job offers from Company Y and Company Z.
Both companies guaranteed her for the remaining time she will be in school. She must make a decision
whether to stay with company X or transfer to company y or company Z. The decision must be made right
after the 2 years and 1 month; it CANNOT be delayed.
Company X pays P6, 500 per month plus a monthly bonus of P500. However, Dianne will not receive
the bonus on a monthly basis. It will be given a lump sum after every 2.5 years. This implies that if Dianne
quits before 2.5 years, she will receive none of the bonus money. It she quits before 5 years, she will receive
the first batch of bonus money but none of the bonus money that accumulated beginning with the 31st
month. Company Y pays P6, 900 per month but offers no monthly bonus. Company Z pays P6, 350 per
month and gives a one-time bonus of P31, 875 at the end of 35 months (2 years and 11 months).
1. For each job, define a function that represents the amount of money received after m months.
2. Sketch the graph of each function for 0 <m < 60.
3. From a financial point of view, explain the advantages of each job.
4. Determine which job is best for Dianne. Explain in a logical, mathematical and convincing way, the reasons
why.​