Problem:
You are coordinating the construction of a shelter for homeless people. A large number of college students and members of a religious organization have signed up as volunteers to help build the shelter. About 30% of these volunteers are skilled, but the rest are not. It is estimated that the total number of worker-hours required to complete the construction of the shelter is 1200-if all of the volunteers are skilled. Three times as many unskilled volunteers are required to complete any job compared to skilled volunteers. The average number of hours a skilled volunteer is available is 10/week while unskilled volunteers are available for 15 hours every week, and at least two skilled workers need to be at the site at any given time. However, no more than 10 workers are allowed at any time at the site. You must complete the project in 6 months.