There are six M1A1 tanks awaiting repair at Ft. Hood. Assume that only one tank can be repaired at a time, and no more tanks

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There are six M1A1 tanks awaiting repair at Ft. Hood. Assume that only one tank can be repaired at a time, and no more tanks will be accepted until they process the 6 tanks currently in the repair pipeline. Each tank costs $4,300,000 and the inventory carrying rate is 20% per year.

The following order of arrival, repair time in days, and relative importance(where an important job will have large value of w_i) datais available.

order of arrival 1 2 3 4 5 6

repair time (t_i) 8 6 1 9 11 5

importance (w_i) 3 8 1 10 7 4

a. Determine the value of the work-in-process inventory resulting under each the three job sequencing rules: first come, first served (FCFS), shortest processing time (SPT), andpriority-modified SPT rule.

b. Strictly, from an inventory value perspective, which rule would you use to schedule the repair of these 6 tanks? Justify your answer.