Question

The Action Toy Company has decided to manufacture a new train​ set, the production of which is broken into six steps. The demand for the train is 4,500 units per​ 40-hour workweek:
Task Performance Time ​(seconds) Predecessors
A 22 -
B 30 A
C 15 A
D 14 A
E 12 ​B, C
F 27 ​D, E
Required:
a) Given the​ demand, the cycle time for the production of the new train set​ = ___________ ​(round your response to one decimal​ place).
b) The theoretical minimum number of work stations is __________? (round your response up to the next whole number)

Answer 1

Answer:

a. 32 secs

b. 3.75 or 4

Explanation:

The computation is shown below:

(a) Cycle Time is

= Operation time per week ÷  output per week

= (40 hours × 60 × 60) ÷ (4,500)

= 32 secs

(b) And, the Theoretical minimum number of workstations required  is

= Sum of total task times ÷ cycle time

= (22 + 30 + 15 + 14 + 12 + 27) ÷ (32 sec)

= 3.75  or 4

By applying the above formulas we can get the cycle time and the theoretical minimum number of work stations