# solution

An assembly line is to be designed to operate 10 hours per day and supply a steady demand of 400 units per day. Here are the tasks and their performance times:

 TASK PRECEDINGTASKS PERFORMANCE TIME (SECONDS) TASK PRECEDINGTASKS PERFORMANCETIME (SECONDS) A â€” 50 G D 55 B â€” 40 H E 20 C â€” 60 I F 25 D A 30 J G 15 E B 20 K H, I 10 F C 25 L J, K 40

b. What is the workstation cycle time required to meet the desired output rate?

c.What is the theoretical minimum number of workstations required to meet the desired output rate? (Round up your answer to the next whole number.)

d.Assign tasks to workstations using the longest operating time. (Leave no cells blank – be certain to enter “0” wherever required.)

e.What is the efficiency of your line balance, assuming it is running at the cycle time determined in part b? (Round your answer to 1 decimal place.)

f.Suppose demand increases by 10 percent. How would you react to this? Assume that you can operate only 10 hours per day using regular time. (Round your answer for cycle time down to the nearest whole number. Round your answer for overtime up to the nearest whole number.)