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Question
If the corner points of the feasible solution are (0, 10), (2, 2) and (4, 0), then the point of minimum z = 3x + 2y is ______.
Options
(2, 2)
(2, 2)
(0, 10)
(0, 10)
(4, 0)
(4, 0)
(3, 4)
(2, 4)
Solution
If the corner points of the feasible solution are (0, 10), (2, 2) and (4, 0), then the point of minimum z = 3x + 2y is (2, 2).
Explanation:
Z = 3x + 2y
At (0, 10) = Z = 0 + 2 (10) = 20
At (2, 2), = Z = 3 (2) + 2 (2) = 10
At (4, 0), Z = 3 (4) + 0 = 12
The minimum value of Z is 10 and it occurs at (2, 2).
Notes
The answer in the textbook is incorrect.
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