question archive A line-balancing solution has been developed for the assembly line for fertilizer spreaders at Green Grass, Inc

A line-balancing solution has been developed for the assembly line for fertilizer spreaders at Green Grass, Inc

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A line-balancing solution has been developed for the assembly line for fertilizer spreaders at Green Grass, Inc. The desired output rate of 30 spreaders per hour will be achieved. The sum of times for all tasks performed on the line is 1056 seconds for each spreader assembled. This is the total productive time. Which of the following statements must be TRUE?

Select one:

a. The cycle time is 30 seconds per spreader.

b. If the solution calls for 12 stations, the efficiency is 80%.

c. The theoretical minimum number of stations is 10.

d. If the solution calls for 11 stations, the efficiency is 80%.

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Answer:

d. If the solution calls for 11 stations, the efficiency is 80%.

Time for assembling one spreader = 1056 seconds

Time for assembling 30 spreader = 30*1056 = 31680

If solution calls for 12 station then total available time = 12*60*60 = 43,200

seconds per hourthen the effiency = 31,680/43,200 = 73.3%

If solution calls for 11 station then total available time = 11*60*60 = 39,600

seconds per hourthen the effiency = 31,680/39,600 = 80%