The feasible region for a LPP is shown in the figure. Let \[Z=3x-4y\] be the objective function Minimum of Z occur at |
A) (0, 0)
B) (0, 8)
C) (5, 0)
D) (4, 10).
Correct Answer: B
Solution :
Construct the following table of values of the objective functions: Corner Points Value of Z = 3x - 4yCorner Points | Value of \[Z=3x-4y\] |
(0, 0) (5, 0) (6, 5) (6, 8) (4, 10) (0, 8) | \[3\times 0-4\times 0=0\] \[3\times 5-4\times 0=15\] \[3\times 6-4\times 5=-2\] \[3\times 6-4\times 8=-14\] \[3\times 4-4\times 10=-28\] \[3\times 0-4\times 8=-32\to Minimum\] |
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