A) \[(0,2)\] Only
B) \[(3,0)\] Only
C) The mind-point of the line segment joining the points \[(0,2)\] and \[(3,\,\,2)\]only
D) Any point on the line segment joining the points \[(0,2)\] and \[(3,0)\]
Correct Answer: D
Solution :
[d] Construct the following table of objective function| Corner point | Value of \[F=4x+6y\] |
| (0, 2) | \[4\times 0+6\times 2=12\] |
| (3, 0) | \[4\times 3+6\times 0=12\] |
| (6, 0) | \[4\times 6+6\times 0=24\] |
| (6, 8) | \[4\times 6+6\times 8=72\] |
| (0, 5) | \[4\times 0+6\times 5=30\] |
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