Answer:
number of workers = 34 worker
number of work station = 24 station
balance efficiency = 34.1 %
average manning level = 1.417
Explanation:
given data
Production rate = 47.5 units per hour = [tex]\frac{47.5}{60}[/tex] unit per min
work content time = 32 minutes
Repositioning time lost = 0.2 min/cycle
solution
we find first number of worker that is
Tc = [tex]\frac{0.95}{\frac{47.5}{60}}[/tex]
Tc = 1.2 min
and we know time loss 0.2 min
so
Ts = 1.2 - 0.2 = 1 min
so for perfect balance
Eb = 1 and
w = minimum integer ≥ 32 × 1 × 1 = 32 worker
and 2 more worker then required perfect balance = 32 + 2 = 34 worker
and
number of workstation is
number of work station is = [tex]\frac{20}{2}[/tex] + (34 - 20 )
number of work station = 24 station
and
balance efficiency is
balance efficiency = [tex]\frac{32}{34}[/tex] × 100
balance efficiency = 34.1 %
and
average manning level is
average manning level = [tex]\frac{34}{24}[/tex]
average manning level = 1.417