6. Given the following: Task Task time Immediate (seconds) predecessor 45 F 11 I 9 H 10 F, G H J 10 a. (10 Points) Construct the precedence diagram b. (5 points) What is the minimum Cycle time possible? c. (5 points) What is the minimum number of stations required for a cycle time of 50 seconds? d. (45 points) For a cycle time of 50 seconds, balance the line using the ranked positional weight (RPW) method. Break ties with the most number following tasks rule, i.e. if two tasks have the same positional weight, assign the one with the most number following tasks. If they are tied further, use the alphabetical order to select the next assignment Work out your solution using the following format | Station Task | Task Time Cumulative station time Remaining station time e. (5 points) What is the balancing loss for the line? f. (5 points) Is the solution a good balance? a. If your answer is YES give your reason(s) b. If your answer is NO give your reason(s)