Problem $2.(20$ points$)$

An assembly line is to operate eight hours per day with a desired output of $240$ units per day. The following table contains information on this product's task times and precedence relationships:

a$.$ Draw the precedence diagram. $(5$ points$)$

b$.$ What is the workstation cycle time required to produce $240$ units per day? $(2$ points$)$

c$.$ Balance this line using the longest task time. Use largest number of following tasks 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$?(3$ points$)$