Help me with this management science question please.

5 . BeFair Corporation has $30 million to allocate to the various projects of it's three* subsidiaries for the next year . Be Fair has established that at least one project from each subsidiary must be funded . The profit ( return - investment ) at the end of the year and the required investments are given in the table below for each project , where projects 1 to 3 belong to sub- sidiary 1 , projects 4 to 6 belong to subsidiary 2, and the rest belong to subsidiary 3. PROJECT PROFIT IIN INVESTMENT MILLION SI |IN MILLIONS) 1 0. 50 2 2 1. 40 5 3 1. 70 12 4 1 . 10 2 5 4. 00 15 0. 60 3 7 2.50 10 8 1 . 10 1 BeFair wants to decide which projects to fund so that the total profit will be max - imized . Formulate this problem in the space provided on the answer sheet . 2 . Clearly define the decision variables you would use to solve this problem .b . Formulate an integer linear program for the above problem using only the decision variables defined in a