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Choose the correct alternative : The corner points of the feasible region are (0, 0), (2, 0), (127,37) and (0,1) then the point of maximum z = 7x + y - Mathematics and Statistics

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प्रश्न

Choose the correct alternative :

The corner points of the feasible region are (0, 0), (2, 0), `(12/7, 3/7)` and (0,1) then the point of maximum z = 7x + y

विकल्प

  • (0, 0)

  • (2, 0)

  • `(12/7, 3/7)`

  • (0, 1)

MCQ

उत्तर

Z = 7x + y
At (0, 0), Z = 0 + 0 = 0
At (2, 0), Z = 7 (2) + 0 = 14

At `(12/7, 3/7), "Z" = 7(12/7) + (3)/(7) = (87)/(7)` = 12.428

At (0, 1), Z = 0 + 1 = 1.
The maximum value of Z is 14 and it occurs at (2, 0).

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Linear Programming Problem (L.P.P.)
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 6: Linear Programming - Miscellaneous Exercise 6 [पृष्ठ १०३]

APPEARS IN

बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 6 Linear Programming
Miscellaneous Exercise 6 | Q 1.11 | पृष्ठ १०३

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