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Gate2005_84

We are given 9 tasks T1, T2, …. T9. The execution of each task requires one unit of time. We can execute one task at a time. Each task Ti has a profit Pi and a deadline di. Profit Pis earned if the task is completed before  the end of the dith unit of time.

Task T1 T2 T3 T4 T5 T6 T7 T8 T9
Profit 15 20 30 18 18 10 23 16 25
Deadline 7 2 5 3 4 5 2 7 3

(A)

Are all tasks completed in the schedule that gives maximum profit?

(a) All tasks are completed         (b) T1 and T6 are left out
(c) T1 and T8 are left out             (d) T4 and T6 are left out

(B)

What is the maximum profit earned?

(a) 147         (b) 165        (c) 167       (d) 175

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