Question: $3(14$ points$)$

$($CLO$-3,$ PLO$-5)$

A manufacturer of agricultural equipment, is designing an assembly line to produce a new fertilizer spreader. The table shows information on the production process. The manufacturer wants its production line to be designed to make $2,400$ spreaders per week for at least the next $3$ months. The plant will operate $40$ hours per week.

a$)$ What should be the line's cycle time?

b$)$ What is the smallest number of workstations in designing the line for this cycle time?

c$)$ Suppose you find a solution that requires only five stations. What would be the line's efficiency?

d$)$ Find a line balancing solution with the balance delay factor.

c$)$ Compute the system capacity.