wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

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

Open in App
Solution

As clear from the graph, corner points are O,A,E, and D with coordinates (0,0), (52, 0), (144,16) and (0,38), respectivley. Also, given region is bounded.

Here, Z=3x+4y
2x+y=104 and 2xy+4y =152
3y=48
y=16 and x=44
Corner pointsCorresponding value of Z(0,0)0(52,0)156(44,16)196Maximum(0,38)152
Hence, Z is at (44,16) is maximum and its maximum value is 196.


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Sphere
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon