Mathematics - Area Under Curves Question with Solution | TestHub

MathematicsArea Under CurvesArea bounded by Miscellaneous CurvesHard2 minPYQ_2019
MathematicsHardsingle choice

The maximum value ofZ=5x+4y,Subject toy≤2x,x≤2y,x+y≤3,x≥0,y≥0is ..

Options:

Answer:
A
Solution:

We have,z=5x+4y
Subject to contraintsy≤2x,x≤2y,x+y≤3,x≥0,y≥0
On taking given constraints as equations, we get the following3 graph.

Intersecting point of liney=2xandx+y=3isA1,2and intersecting point of liney=2yandx+y=3isB2,1
Here OABO is the required feasible region whose corner points areO0,0,A1,2andB2,1

Corner points z=5x+4y
O,0,0 5×0+4×0=0
A1,2 5×1+4×2=13
B2,1
5×2+4×1=14
(maximum)
Stream:MHT_CETSubject:MathematicsTopic:Area Under CurvesSubtopic:Area bounded by Miscellaneous Curves
⏱ 2mℹ️ Source: PYQ_2019

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