Question: Consider a modification to the activity - selection problem in which each activity a has, in addition to a start and finish time, a value

Consider a modification to the activity

-

selection problem in which each activity a

has, in addition to a start and finish time, a value Vi

.

The objective is no longer to maximize the number of activities scheduled, but instead to maximize the total value of the activities scheduled. That is

,

we wish to choose a set A of compatible activities such that Laxen Vk is maximized. Give a polynomial

-

time algorithm for this problem.

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