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Answer :
To complete the construction of the shelter on time, we need to develop a plan that utilizes both skilled and unskilled volunteers effectively.
Let's break down the steps: Calculate the number of skilled workers needed at any given time:
Since at least two skilled workers need to be present, we'll assign two skilled workers and then determine the number of unskilled workers needed.
Therefore, the maximum number of workers at the site at any time will be 10 - 2 = 8.
Determine the number of unskilled workers needed:
Given that three times as many unskilled volunteers are required compared to skilled volunteers, we'll need 3 * 2 = 6 unskilled workers for every two skilled workers.
Calculate the total number of worker-hours available per week: Multiply the number of skilled workers (2) by the average number of hours they are available (10 hours/week) to get
2 * 10 = 20 worker-hours per week.
Multiply the number of unskilled workers (6) by the average number of hours they are available (15 hours/week) to get
6 * 15 = 90 worker-hours per week.
Determine the total number of worker-hours required to complete the project:
Since all volunteers are skilled, the total number of worker-hours required is estimated to be 1200.
Calculate the number of weeks needed to complete the project:
Divide the total number of worker-hours required (1200) by the total number of worker-hours available per week
(20 + 90 = 110) to get 1200 / 110 = 10.91 weeks.
To complete the project within 6 months, which is approximately 24 weeks, we need to adjust our plan.
Since we cannot have a fraction of a week, we'll round up to 11 weeks. This means we need to recruit additional skilled volunteers to meet the worker-hour requirements. By increasing the number of skilled volunteers, we can reduce the time needed to complete the project while ensuring we have at least two skilled workers on-site at all times.
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We we can complete the project on time by scheduling the skilled volunteers for 10 hours per week and the unskilled volunteers for 8400 worker-hours over 24 weeks.
To complete the construction of the shelter on time, we need to come up with a clear plan that takes into account the number of skilled and unskilled volunteers, their availability, and the total worker-hours required.
First, let's calculate the number of skilled and unskilled volunteers. Given that 30% of the volunteers are skilled, and we have a large number of college students and members of a religious organization, we can assume that the total number of volunteers is 100. Therefore, the number of skilled volunteers is 30 and the number of unskilled volunteers is 70.
Next, we need to determine the number of worker-hours required. If all the volunteers were skilled, we would need 1200 worker-hours to complete the project. Since three times as many unskilled volunteers are required for any job, we can calculate that we need 3 * 1200 = 3600 worker-hours to complete the project with unskilled volunteers.
Now, let's consider the availability of the volunteers. Skilled volunteers are available for 10 hours per week, while unskilled volunteers are available for 15 hours per week.
To ensure that at least two skilled workers are present at all times, we can assign 2 skilled volunteers to each shift, which is a total of 4 hours per shift. This means we will have 10 / 4 = 2.5 shifts per week.
Considering the maximum number of workers allowed on-site is 10, we can divide the remaining hours between the skilled and unskilled volunteers.
To complete the project in 6 months (24 weeks), we need to schedule the volunteers accordingly. We can assign the skilled volunteers for 2.5 shifts per week, which is a total of 2.5 * 4 = 10 hours per week.
For the unskilled volunteers, we can divide the remaining hours (15 - 10 = 5 hours) between the 70 volunteers. This gives us a total of 5 * 70 = 350 worker-hours per week.
Considering there are 24 weeks to complete the project, the total worker-hours available with the unskilled volunteers is 350 * 24 = 8400.
Therefore, we can complete the project on time by scheduling the skilled volunteers for 10 hours per week and the unskilled volunteers for 8400 worker-hours over 24 weeks.
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