Determine the maximum value of Z=3x+4y, if the feasible reigon (shaded) for a LPP is shown in following figure
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As clear from the graph, corner points are O, A, E and D with corrdingates (0,0),(52,0),(144,16) and (0,38) respectively, Also, given region is bounded Here, Z=3x+4y `therefore 2x+y=104 and 2x+4y=152 ` `Rightarrow -3y=-48` `Rightarrow y=16 and x=44` Hence, Z is at (44,16) is maximum value is 196
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