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Consider a modification to the activity-selection problem in which each activity ai 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 summation of their corresponding values is maximized. give a polynomial-time algorithm for this problem.

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Consider a modification to the activity-selection problem in which each activity ai has, in addition...
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