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Question
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
Solution
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 13.
Explanation:
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.
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