4. (a) A group project consists of 9 individual tasks that need to be completed by the fewest number of people possible. The maximum allowable time to complete the project is six days, and the tasks take the following number of days: DE F G H I A B C 2 3.5 2 3.5 1 1.5 0.5 Item Time [days] 1 3 (i) Find the lower bound for the number of people required to complete the project within 6 days. (2 marks) (ii) Find a solution needing only people. (4 marks) (iii) Use the first fit decreasing algorithm to estimate the minimum number of people required to complete the project. Does the first fit decreasing algorithm give an optimal solution? (6 marks)