Question

The following tasks are to be performed on an assembly line:

TASK	SECONDS	TASKS THAT MUST PRECEDE
A	18	—
B	10	A
C	25	B
D	15	B
E	14	C
F	17	D
G	12	E, F
H	20	G

The workday is 6.25 hours long. Demand for completed product is 750 per day.

a. Find the cycle time required to meet the desired output rate. (Round your answer to 1 decimal place.)

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

d. Balance the line using sequential restrictions and the longest-operating-time rule. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 1 decimal place.)

e. What is the efficiency of the line balanced as in part (d) assuming it is running at the cycle time determined in part (a)? (Round your answer to 1 decimal place.)

f. Suppose that demand rose from 750 to 950 units per day. What would you do? (Round your answer for cycle time down to the nearest whole number.)

g. Suppose that demand rose from 750 to 1,150 units per day. What would you do? (Round your answer for cycle time down to the nearest whole number.)

Answer 1

a)

Cycle time = 30.0 seconds

-----------------------------------------------------------------------------------------------------

b)

Theoretical number of workstations = 5

-----------------------------------------------------------------------------------------------------------

d)

Workstations	Tasks
1	A,B
2	C
3	D,E
4	F,G
5	H

--------------------------------------------------------------------------------------------------------------------------------

e)

TASK	SECONDS	TASKS THAT MUST PRECEDE
			A	18	—
B	10	A
C	25	B
D	15	B
E	14	C
F	17	D
G	12	E, F
H	20	G
	∑ Task times = 131

Efficiency = 87.3%

----------------------------------------------------------------------------------------------

f)

Cycle time = 23 seconds

----------------------------------------------------------------------------------------------

g)

Cycle time = 19 seconds