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Question
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?
Options
a = 9, b = 1
a = 5, b = 2
a = 3, b = 5
a = 5, b = 3
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Solution
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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