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Susan Wong wants to develop a linear programming model for her budget. The objective is to maximize her short-term investments during the year so she can take the money and reinvest at the end of the year in a longer-term investment program.
Susan has $3000 in her bank account at the beginning of this year. Her after-taxes-and-benefits salary is $29400 per year which she receives in 12 equal monthly paychecks ($2450/month) at the end of each month. Susan has computed her expected monthly liabilities for this year, as shown in the following table.
Month
Bills ($)
January
2860
July
3050
February
2750
August
2300
March
2550
September
1975
April
2120
October
1670
May
1205
November
2710
June
1600
December
2980
Susan has decided that she will invest any money she doesn't use to meet her liability each month in either 1-month, 3-month or 7-month short-term investment vehicles. The yield on a 1-month investment is 6% per year nominal (0.5%/month). The yield on a 3-month investment is 8% per year nominal (equivalent to 2% for 3 months). On a 7-month investment, the yield is 12% per year nominal.
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