A) \[90\]
B) \[120\]
C) \[96\]
D) \[240\]
Correct Answer: B
Solution :
Feasible region of constraints is shown in the graph. Extreme points are\[(0,\,\,0),\,\,\,(15,\,\,0),\,\,\,(0,\,\,12)\]and\[(12,\,\,6)\]. Since,\[P=6x+8y\] \[{{P}_{(12,\,\,6)}}=72+48=120\] \[{{P}_{(0,\,\,0)}}=0\] \[{{P}_{(15,\,\,0)}}=90+0=90\] \[{{P}_{(0,\,\,12)}}=0+96=96\] Clearly, maximum value of\[P\]is\[120\]at\[(12,\,\,6)\].You need to login to perform this action.
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