Suppose that, instead of final exams, you were assigned a \"project Friday\", wh

Question

Suppose that, instead of final exams, you were assigned a "project Friday", where each of your courses gives you a different project at 8 AM. Unfortunately, you are trying to get 2 degrees in a total of 3 years, so you have a slight overload of 7 courses this semester (!!!) Each project requires exactly 2 hours of work, and has a due time which is different. The instructors will give you no credit if it is late by 1 second, or if you work less than the required 2 hours. According to your subjective value rating, the value of turning each project in on time is given below, along with the deadline for the project. :

Project:

1

2

3

4

5

6

7

Value:

6

3

5

3

4

2

7

Deadline:

2pm

12noon

12noon

4pm

2pm

4pm

6pm

Find an optimal schedule for turning in your projects, starting work at 8 AM on Friday, and determine the value achieved by that schedule.

Project:

1

2

3

4

5

6

7

Value:

6

3

5

3

4

2

7

Deadline:

2pm

12noon

12noon

4pm

2pm

4pm

6pm

Explanation / Answer

Optimal Schedule : (in Project Numbers ) 3 , 5 , 1 , 4 , 7

Total Value : 5 + 4 + 6 + 3 + 7 = 25

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