A) \[(0,\,\,0)\]
B) \[(6,\,\,0)\]
C) \[(4,\,\,4)\]
D) \[(0,\,\,10)\]
Correct Answer: C
Solution :
Given LPP is \[Max\,z=5x+3y\] \[2x+y\le 12\] \[3x+2y\le 20\] \[x\ge 0,\,\,\,\,\,\,\,\,\,y\ge 0\] First we consider all the inequalities as equations.Equations | Points |
\[2x+y=12\] | \[(0,\,\,12),\,\,(6,0)\] |
and | \[(0,\,\,10),\,\,\,\,\left( |
\[3x+2y=20\] | \frac{20}{3},0 \right)\] |
Points | Objective function Max\[Z=5x+3y\] |
\[O(0,0)\] | \[5\times 0+3\times 0=0\] |
\[B(0,10)\] | \[5\times 0+3\times 10=30\] |
\[P(4,4)\] | \[5\times 4+3\times 4=32(\max )\] |
\[A(6,0)\] | \[5\times 6+3\times 0=30\] |
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