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      A garment manufacturing concern produces two types of garments and each type is processed in three sections of the factory. Man-minutes required by each type for its processing in different sections, profit yielded by each type and man-minutes available in the sections are given in the table below:

 

Processing man minute in different sections

Profit per piece

(in Rs)

Garment type-I

15

30

2

10

Garment type-II

60

10

2

20

Available man

minute /day

1080

630

48

 

 

  1. Number of daily production of each type so that profit becomes maximum.
  2. Amount of this maximum profit and
  3. the sections, resources of which are fully utilized           

                                   

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