Question: Problem 6 . A robot is given a set of n jobs, where each job i has a deadline D [ i ] and a

Problem 6. A robot is given a set of n jobs, where each job i has a deadline D[i] and a profit P[i].
The robot can perform at most one job at any given time. Robots task is to select a subset of jobs to
maximize the total profit, subject to the constraint that no two jobs in the subset overlap.
a) Derive an optimal Greedy algorithm to solve this problem
b) Prove the correctness of the optimal Greedy algorithm solution
c) Derive the time complexity of the optimal Greedy algorithm solution

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