Equations And Inequalities Question 41
Question: The shaded region shown in the figure is given by the in equations
Options:
A) $ 14x+5y\ge 70,,y\le 14 $ and $ x-y\ge 5 $
B) $ 14x+5y\le 70,,y\le 14 $ and $ x-y\ge 5 $
C) $ 14x+5y\ge 70,y\ge 14 $ and $ x-y\ge 5 $
D) $ 14x+5y\ge 70,y\le 14 $ and $ x-y\le 5 $
Show Answer
Answer:
Correct Answer: D
Solution:
- [d] From the figure it is clear that there are 3 lines. Line which passes from (0, 14) and (19, 14) is $ y=14 $
$ \therefore $ In the shaded region $ 0\le y\le 14 $ Line which passes from $ (5,0) $ and $ (0,14) $ is $ 14x+5y=70 $
$ \therefore $ In the shaded region $ 14x+5y\ge 70 $ Line which passes form $ (5,0) $ and $ (19,14) $ is $ x-y-5=0 $
$ \therefore $ In the shaded region $ x-y\le 5 $ Thus, inequations are $ 14x+5y\ge 70, $ $ x-y\le 5, $ $ y\le 14. $
BETA
