Longer-term investment program

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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 ($)

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.

Reference no: EM13787832

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