$(**)$ Draw a precedence diagram for the tasks. Rayloc would like the cell to be able to handle $100$ pumps a day. What is the takt time? What is the theoretical minimum number of workstations needed? $(**)$ Develop workstation assignments using the $$largest eligible task$$ rule. $(**)$ How many workstations does your solution require? What is the cycle time for the line? What is the idle time? What is the percent idle time? $(***)$ Suppose Rayloc would like to double the output to $200$ pumps a day. Is this possible, given the tasks listed above? Explain why or why not.