Your scientists have perfected Harry Potter\'s invisibility cloak and are rampin
ID: 339961 • Letter: Y
Question
Your scientists have perfected Harry Potter's invisibility cloak and are ramping up production. It plans to use this production line sixteen hours a day in order to meet projected demand of 4370 units. The tasks necessary to produce this product are:
Task Time (minutes) Predecessor
Get Cloth 2 none
Get Bat Wings 1 none
Boil Toil and Trouble 15.6 none
Stir in ingredients 2 Bat Wings & Boil
Paint onto Cloth 8.25 Stir & Cloth
Package for delivery 2.5 Paint
What is the minimum number of machines needed to meet demand?
Explanation / Answer
We know required Cycle Time = Total Productive Time / Demand
We have the productive time and demand data for 1 day where
Productive time = 16 * 60 = 960 minutes
Demand = 4370 / day
required cycle time = 960/4370 = .219 minutes
Theoretical minimum number of lines required = Sum of time for all task / required cycle time
Sum of time for all task = 2 + 1 + 15.6 + 2 + 8.25 + 2.5 = 31.35 minutes
Minimum lines required = 31.35 / .219
= 142.7
= 143 [Next whole number]
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