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CAT 1995 | Question: 176

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Machine M1 as well as Machine M2 can independently produce either Product P or Product Q. The times taken by machines M1 and M2 (in minutes) to produce one unit of product P and Q are given in the table below: (Each machine works 8 hours per day).

PRODUCT M1 M2
P 10 8
Q 6 6

What is the maximum number of units that can be manufactured in one day?

  1. 140 
  2. 160
  3. 120 
  4. 180

1 Answer

1 1 vote

Machine M1 & M2 both manufactures product Q at least time.

Maximum number of units can be manufactured by machine M1 in one day is = $\dfrac{{8}*{60}}{6}$    [∵Each machine works 8 hours per day]

                                                                                                                                             = 80

Maximum number of units can be manufactured by machine M2 in one day is = $\dfrac{{8}*{60}}{6}$ 

                                                                                                                                             = 80

Maximum number of units that can be manufactured in one day by machine M1 * machine M2 = 80 + 80  = 160 units

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