$1.$ They plan to manufacture $2,400$ specialized cans for a home improvement store in St$.$ Louis in an $8-$hr day. Assign the tasks by the longest task time and if there is a tie, assign the task with the greatest number of following tasks.

a$.$ What is the cycle time?

b$.$ Draw the precedence diagram.

c$.$ What is the minimum number of workstations needed to realize the output?

d$.$ Balance the assembly line and compute the total idle time.

e$.$ What is the efficiency of the balanced assembly line?