For the constraints , ,

MATHEMATICS · Subjective · CBSE · Mathematics · Linear Programming · Linear Programming

Problem

For the constraints

x+2y\le8

x\ge0

y\ge0

, the feasible region is a right-angled triangle of area

16\text{ units}^2

. If the coefficient of

y

is doubled so that the first inequality becomes

x+4y\le8

while the other two constraints are unchanged, find the area of the new feasible region.