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is enrolled in four courses (course 1, 2, 3, 4) She has 35 hours to study in the

ID: 3304152 • Letter: I

Question

is enrolled in four courses (course 1, 2, 3, 4) She has 35 hours to study in the week before the midterm and wishes to allocate her time to maximize her mid-term grades in these classes. With no effort, suppose her score is ej on course j Suppose each hour devoted to course j improves her score by pj. She does not want to spend too much time on courses 1 and 2, as she is already quite good at those, so she limits ly to 10 hours. Moreover, she wishes to spend the most time on course 4. How should she allocate her time to maximize her overall mid-term score?

Explanation / Answer

As per the requirements of time and focus required on each subject Joan can allocate her timings in following way:

Course 1:- 5 hrs

Course 2 :- 5 hrs

Course 3 :- 10 hrs

Course 4 :- 15 hrs

The above allocation fulfills the requirements ie course 1 & 2 collectively sholud be allocated 10hrs

And course 4 should be allocated highest timmings