Determine the maximum value of Z=3x+4y, if the feasible reigon (shaded) for a LPP is shown in following figure

Answer

N/a

Explanation

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