Linear Programming Question 1
Question: For the following shaded area, the linear constraints except $ x\ge 0 $ and $ y\ge 0 $ , are
Options:
A) $ 2x+y\le 2,\ x-y\le 1,\ x+2y\le 8 $
B) $ 2x+y\ge 2,\ x-y\le 1,\ x+2y\le 8 $
C) $ 2x+y\ge 2,\ x-y\ge 1,\ x+2y\le 8 $
D) $ 2x+y\ge 2,\ x-y\ge 1,\ x+2y\ge 8 $
Show Answer
Answer:
Correct Answer: B
Solution:
To test the origin for $ 2x+y=2,x-y=1 $ and $ x+2y=8 $ in reference to shaded area, $ 0+0<2 $ is true for $ 2x+y=2 $ .
So for the region does not include origin (0, 0), $ 2x+y\ge 2 $ .
Again for $ x-y=1,0-0<1 $ ,
$ \therefore x-y\le 1 $ Similarly for $ x+2y=8,0+0<8 $ ; \ $ x+2y\le 8 $ .
BETA
