a shop floor has machines that are operational 85% of the time. the machines wil

Question

a shop floor has machines that are operational 85% of the time. the machines will run for 7 hours of an 8-hour shift with 90% efficiency, knowing they have to make a quota of 144 pieces each shift. with each piece takes 20 mins to make. how many workstations are required a shop floor has machines that are operational 85% of the time. the machines will run for 7 hours of an 8-hour shift with 90% efficiency, knowing they have to make a quota of 144 pieces each shift. with each piece takes 20 mins to make. how many workstations are required a shop floor has machines that are operational 85% of the time. the machines will run for 7 hours of an 8-hour shift with 90% efficiency, knowing they have to make a quota of 144 pieces each shift. with each piece takes 20 mins to make. how many workstations are required

Explanation / Answer

Production per machine running 7 hours per shift = (Total running time/time for making 1 unit)* Efficiency = ((7*60)/20)*0.9 = 18.9 units

Quota of production per shift = 144

Therefore, number of workstations = Quota/Production per machine = 144/18.9 = 7.62 ~ 8

Thus, total of 8 workstations are required to fulfil the production quota per shift.

Please note that this is calculated on the assumption that the 85% operational constraint is incorporated in the fact that the machine will run 7 hours in an 8 hour shift. Had it not been the case, the multiple of availability that is 85% should be incorporated in the first formula in the numerator to get the net output per machine.

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