Using the following assembly line information, construct a flow diagram using arrows to indicate sequence and precedence, calculate the takt time, calculate the minimum number of workcenters , balance the line, and finally, calculate the line efficiency. What is the total worker idle time per day? The desired output is 45 units per day. The factory is open for 8 hours per day.

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Task Time (min.) Immediate Predecessors Activity a 4 a 3 d, e