Question: You just signed a contract to complete 7 tasks, and then realized immediately that you have vastly over - estimated the machine capacity and cannot

You just signed a contract to complete

7

tasks, and then realized immediately that you have vastly over

-

estimated the machine capacity and cannot finish all tasks by the deadlines promised to the customer. After some negotiation, you decided to pay a penalty to the customer, who gave you two options either pay $

1, 000

per day for a duration that equals the maximum tardiness, or pay $

8, 000

for each task that misses its deadline.

You have one machine to process these tasks, and will do the best from day one. The task duration and deadline are given as follows:

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