Some tasks and the order in which they must be performed according to their assemblyrequirements are shown in the following table. These are to be combined into workstationsto create an assembly line. The assembly line operates 71⁄2 hours per day. The outputrequirement is 1,000 units per day.
Preceding Time Preceding Time
Task Preceding Tasks Time (Seconds) Task Preceding Task Time (Seconds)
A - 15 G C 11
B A 24 H D 9
C A 6 I E 14
D B 12 J F,G 7
E B 18 K H,I 15
F C 7 L J,K 10
a. What is the workstation cycle time required to produce 1,000 units per day?
b. Balance the line using the longest task time based on the 1,000-unit forecast, statingwhich tasks would be done in each workstation.
c. For (b), what is the efficiency of your line balance, assuming it is running at the cycletime from part (a)?
d. After production was started, Marketing realized that it understated demand and must
increase output to 1,100 units. What action would you take? Be specific and quantitativein your answer.
8. An initial solution has been given to the following workcenter layout problem. Giventhe fl ows described and a cost of $2.00 per unit per foot, compute the total cost for thelayout. Each location is 100 feet long and 50 feet wide as shown in the following fi gure.Use the centers of departments for distances and measure distance using metropolitan-rectilinear
distance.
Department
A B C D
A 0 10 25 55
Department B 0 10 5
C 0 15
D 0
100' 100' 100'
50' A B C 50'
D 50'