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The objective function Z = ax + by of an LPP has maximum vaiue 42 at (4, 6) and minimum value 19 at (3, 2). Which of the following is true? - Mathematics

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प्रश्न

The objective function Z = ax + by of an LPP has maximum vaiue 42 at (4, 6) and minimum value 19 at (3, 2). Which of the following is true?

पर्याय

  • a = 9, b = 1

  • a = 5, b = 2

  • a = 3, b = 5

  • a = 5, b = 3

MCQ

उत्तर

a = 3, b = 5

Explanation:

Here, objective function,

Z = ax + by

Acoording to question,

42 = 4a + 6b

or 21 = 2a + 3b  ...(i)

and 19 = 3a + 2b  ...(ii)

On solving equations (i) and (ii), we get

b = 5 and a = 3.

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