3 A manual assembly line is being planned for an assembled p

3. A manual assembly line is being planned for an assembled product whose work content time = 47.2 min. The line will be operated 2000 hr/yr. The annual demand anticipated for the product is 100,000 units. Based on previous assembly lines used by the company, the proportion of uptime on the line is expected to be 94%, the line balancing efficiency will be 92%, and the repositioning time lost each cycle will be 6 sec. The line will be designed with 1 worker/station. Determine (a) the required hourly production rate of the line (1 point), (b) the cycle time (1 point), (c) the ideal minimum number of workers required (1 point), and (d) the actual number of workers required based on the efficiencies given (1 point). Formulas: Ts = Tc – Tr w* = Minimum Integer ³ w = Min Int ³

Solution

Solution:

(a)Rp= 100,000/2,000 = 50 units/hr

(b)Tc= 60(0.94)/50 = 1.128 min

(c)w* = Min Int47.2/1.128 = 41.84 rounded up to 42 workers

(d)Ts= 1.128 – 0.10 = 1.028

min w= Min Int47.2/1.028(0.92) = 49.9 rounded up to 50 workers