Maharashtra State BoardHSC Commerce 12th Board Exam
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Choose the correct alternative : If the corner points of the feasible region are (0, 0), (3, 0), (2, 1) and (0,73) the maximum value of z = 4x + 5y is . - Mathematics and Statistics

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MCQ

Choose the correct alternative :

If the corner points of the feasible region are (0, 0), (3, 0), (2, 1) and `(0, 7/3)` the maximum value of z = 4x + 5y is .

Options

  • 12

  • 13

  • `(35)/(2)`

  • 0

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Solution

Z = 4x + 5y
At (0, 0), Z = 0 + 0 = 0
At (3, 0), Z = 4 (3) + 0 = 12
At (2, 1), Z = 4 (2) + 5 (1) = 13

At `(0, 7/3), "Z" = 0 + 5(7/3)` = 11.67 
The maximum value of Z is 13.

Concept: Linear Programming Problem (L.P.P.)
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 6 Linear Programming
Miscellaneous Exercise 6 | Q 1.12 | Page 103
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