Question

Why won't anyone answer my question? Please help!!

Answer 1

I don;t understand what feasibility means or the question in general...

Answer 2

@zepdrix @texaschic101

Answer 3

feasibility region is the shown shaded region in graph

Answer 4

the shaded region looks like a "convex polygon" right ?

Answer 5

First of all I would like to thank you so much for responding :)
Oh and yes, the shaded region does look like that...is that a hint to finding the answer? What do I do next?

Answer 6

no, thats not a hint, thats just an observation

Answer 7

oh..

Answer 8

here is the hint :
maximum/minimum value occurs at vertices of that polygon

Answer 9

it has four vertices, right ?

Answer 10

P = x-2y

Answer 11

Yep

Answer 12

just evaluate above function at all vertices

Answer 13

(8, 0) is one vertex, lets evaluate the function at this vertex :

P = x - 2y
= 8 - 2*0
= 8

Answer 14

similarly, find the function value at other vertices also

Answer 15

Wait, what does that mean

Answer 16

can u list down other vertices ?

Answer 17

(8, 2) is another one

Answer 18

(8, 2) is another vertex
(2, 8) is another vertex
(-0.5, 0) is another vertex

Answer 19

(2, 8) and (0, 2 ) right?

Answer 20

evaluate the given function P, at these vertices and see wat u get

Answer 21

oh opps, I looked at that wrong

Answer 22

:) evaluate the function at those vertices

Answer 23

P = x - 2y = 8 - 2*0 = 8

So = = x -2y
= 2 - 2*8 = -14? For the coordinates (2, 8)? Sorry if this is wrong...I'm kinda bad at math..

Answer 24

@ganeshie8

Answer 25

yes, -14 is the value for (2, 8)
evaluate it at other two vertices also

Answer 26

whatever the lowest value u get,
thats the minimum possible value for given function wid given constraints

Answer 27

(8, 2)
p = x -2y
= 8 - 2*2 = 4 right? Now so far we have 4, -14 and 8

Answer 28

correct !
evaluate the value at remaining last vertex also

Answer 29

(-0.5, 0)

p =x -2y
= -0.5 - 2*0 = -0.5. But -0.5 is not one of the options....what did I do wrong?

Answer 30

@ganeshie8

Answer 31

why do we care if it is in the options or not

Answer 32

whats the lowest among below values ?

4, -14, 8, -0.5

Answer 33

-14

Answer 34

What do you mean by 'left'?

Answer 35

-14 is \(\large \color{red}{\checkmark}\)

Answer 36

nvm, it was a typo

Answer 37

Thank You sooo much for helping me!!

Answer 38

np... u wlc :)