Question 1 [15 marks]: A project team can complete at most 3000 man-hours of work in the next two months. For the next two months, the team has received more projects than what they can complete. The profits and required manhours for these projects are shown in the following table: Project Required Profit No Man-hour - 2.000 $80,000 2 1,500 $70,000 3 1,800 $90,000 4 1.000 $60,000 How many alternatives we have to consider in the use of pure brute force to choose projects so that the total profit for the project team for the next two months, is optimized. List out all the alternatives in a table by category according to the number of projects included, and identify the solution(s) accordingly