Sobha Real Estate Company constructs residential apartments in several countries. It plans to evaluate the worthiness of five potential construction sites over the next three years and choose the ones that lead to maximum return. The following table gives the expected returns, funds available, and associated yearly costs in millions of dirhams.

Considering the given data, determine the optimum mix of sites that will provide maximum returns to the company.
a. Formulate an integer programming model for this problem.
b. Solve this model by using the computer.

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Site 1 Site 2 Site 3 Site 4 Site 5 Funds available Expenditure (AED in million)/year Year 1 5 6 7 6 9 22 Year 2 2 8 6 7 5 25 Year 3 8 9 7 6 8 27 Returns In million AED 25 42 30 20 32