Working part-time in a restaurant near his university, Sabastian expects to earn €2,000 during his three-month summer vacation. He plans to invest his hard-earned money in the available investment products. Each option has certain minimum investment requirements.

The table value of 1.05 return on investment means 5% interest per annum on the capital invested.
Sabastian likes to invest in no more than 3 options that will maximize the future value of his investment after a year.

a. Formulate an integer programming model for this problem.

b. Solve this model by using the computer.

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Return on investment Minimum requirement (in ) Government bonds 1.05 600 Fixed deposit 1.07 800 Mutual fund 1.12 800 Shares 1.15 400