Problem 6-6 Twelvetasks, with times and precedence requirements as shown in the followingtable, are to be assigned to workstations that have a fixed machinecycle time of 1.5 minutes. Two heuristic rules will be tried: (1)greatest positional weight, and (2) greatest number of following tasks. In each case, the tiebreaker will be shortest task time. Task Length (minutes) Immediate Predecessor a 0.1 – b 0.2 a c 0.9 b d 0.6 c e 0.1 – f 0.2 d, e g 0.4 f h 0.1 g i 0.2 h j 0.7 i k 0.3 j l 0.2 k b. Assign tasks to stations under each of the two rules. (1) greatest positional weight (shortest task time as tiebreaker) Work Station Tasks I   II   III   (2) greatest number of following tasks (shortest task time as tiebreaker) Work Station Tasks I   II   III   c. Compute the percentage of idle time for each rule. (Round your answer to 2 decimal places. Omit the ‘%’ sign in your response.)     Percentage of idle time %