An automobile final assembly plant has an annual production capacity of 200,000 cars. the plant operates 50 weeks/yr, 2 shifts/day, 5 days/week, and 8.0 hours/shift. it is divided into three departments: (1) body shop, (2) paint shop, and (3) trim-chassis-final department. the body shop welds the car bodies using robots, and the paint shop coats the bodies. both of these departments are highly automated. trim-chassis-final has no automated workstations. cars are moved by a continuous conveyor. there are 15.0 hours of work content time on each car in this department. if the average manning level is 2.2, balancing efficiency = 93%, proportion uptime = 95%, and a repositioning time of 0.15 min is allowed for each worker, determine
(a) hourly production rate of the plant.
(b) number of workers and workstations in trim-chassis-final.
(c) what is the average labor cost per car in trim-chassis-final if the hourly worker rate = $35 and fringe benefits add $20/hr. ignore cost of supervision, maintenance, and other indirect labor.

a) Rp= 200,000 / (50 X 10 X 8)= 50.0 units /hr

b) Tc= E/Rp= 60 (0.95) /50 =1.14 min

Ts= Tc - Tr = 1.14 - 0.15 = 0.99 min

w= Min Int > Twc/EbTs= 15.0 X 60 / (0.93 X 0.99) ) 944.5   rounded: 978 workers /shift

Total number of workers = 1956 over 2 shifts

n= w/M = 978/2.2 = 444.3    rounded 445 stations

Annual workload WL = 200,000 cars x 15/hr/car = 3,000,000 hr/work

with 1956 workers,= 1956 (50 X 10 X 8) = 3,912000 hr

This doesn´t include E, Eb and Er  

E= 0.95 (given), Eb= 0.93  and Er= 0.99/1.14= 0.8684

Usable service time:  3, 912,000 (0.95) (0.93( (0.8684) = 3,912,000(0.767) = 3,001, 409 hr

C)  the plant operates (50 weeks/yr)(10 shifts/week) (8 hr(shift) = 4000 hr/yr

Total hourly labor rate= $30 + $15= $45/hr

total labor cost = (1956 workers) (2000 hr/wrk-yr) ($45/hr) = $176,040,000

LAbor cost in trim-chassis-final per car= 176,040,000/200,000 = $880.20/car

enlightenment impacted society by introducing the idea that mankind could use reason to discover the laws of the world and the rights of mankind. these ideals affected all factions of society, from politics to religion.

answer; (a) searching for information can be done quickly;