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Question
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
Options
(0, 0)
(2, 0)
`(12/7, 3/7)`
(0, 1)
Solution
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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