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Answer :
a) The company can produce 67,200 3-wheeled bikes in one month.
b) The company will be unable to produce 6,720 bikes due to the machines being pulled out.
c) Considering the lost capacity, they can produce 36,960 bikes in 1 quarter.
a) To calculate the number of 3-wheeled bikes that can be produced in one month, we need to consider the production rate of wheel assemblers and the available machine assemblers per shift.
Number of wheels assembled per hour = 20 wheels
Number of wheel assemblers = 8
Therefore, the total number of wheels assembled per hour = 20 wheels/hour × 8 assemblers = 160 wheels/hour
Since the man-machine ratio is 1:1, the number of bikes assembled per hour is also 160.
Number of machine assemblers per shift = 7
Number of shifts per day = 3
Therefore, the total number of bikes assembled per day = 160 bikes/hour × 7 assemblers/shift × 3 shifts/day = 3360 bikes/day
Number of working days per week = 5
Number of weeks in a month = 4
Therefore, the total number of bikes produced in one month = 3360 bikes/day × 5 days/week × 4 weeks = 67,200 bikes
b) Starting from Day 2 till the end of Week 3, 2 machines will be pulled out. Each machine can produce 3360 bikes per week (calculated in part a).
Number of weeks affected = (4 weeks in a month) - (2 weeks) = 2 weeks
Therefore, the total number of bikes the company will be unable to produce = 3360 bikes/week × 2 weeks = 6720 bikes
c) To calculate the number of bikes they can produce in 1 quarter, we need to consider the lost capacity due to the machines being pulled out (calculated in part b).
Number of weeks in a quarter = 12 weeks
Therefore, the total number of bikes they can produce in 1 quarter = (3360 bikes/week × 12 weeks) - 6720 bikes = 36,960 bikes
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