Question

A machine is supposed to produce four different products. The relevant information is given in the following table. Product Monthly Demand Processing time per unit Units in minutes 1 2500 6.0 2 8000 5.0 3 7000 2.0 4 1500 9.0 In a month, there are 20 working days with 8 working hours for each day. (a) (12 points) Compute the total time in minutes required to produce all the units in the month (b) (5 points) Compute total time in minutes each equipment will work in a month

Answer 1

A) Total Time required in minutes to produce all the units in Months is 82500 Minutes (See working).

Product Monthly Demand Processing time per unit Total Time required Units In Minutes In Minutes 1 2500 6.0 15000 2 8000 5.0 40000 3 7000 2.0 14000 4 1500 9.0 13500 Total 82500

b) Total Time in minutes each equipment will work = Working Days X Working Hour X 60 Minutes

Total Time in minutes each equipment will work = 20 X 8 X 60

   Total Time in minutes each equipment will work = 9600 Minutes

C) Number of machine requiredto produce all units in months =

$Number of machine required = \frac{Total Time Required to produce all units in Minutes }{No. of Minutes a Machine Produce}$

$Number of machine required = \frac{82500}{9600}$

Since Machine cannot be in Fraction therefore 9 machine is required to prodce all the Units demanded in months.

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