Please write out the formulas for how you derive the answers and show work.

Problem 2. (18 points) The desired daily output for an assembly line is 180 units. This assembly line will operate 450 minutes per day. The following table contains information on this product's task times and precedence relationships: Task Task Time Immediate Name (seconds) Predecessor 1 60 J 70 K 60 L 70 J M 30 K N 130 K O 80 M, N P 50 L, O a. Draw the precedence diagram. (5 points) b. What is the workstation cycle time required to produce 360 units per day? (1 points) c. Balance this line using the largest number of following tasks. Use the longest task time as a secondary (tiebreaker) rule. (10 points) d. What is the efficiency of your line, assuming it is running at the cycle time from part b? (2 points)