SOLUTION: I am not sure if this is the right place but: Minimize C = 2x + y with the following constraints: -3x +4y< = 12 3x + 2y

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Question 29145: I am not sure if this is the right place but:
Minimize C = 2x + y with the following constraints:
-3x +4y< = 12
3x + 2y < = 6
y> = 0
Thank you,
lyra
Answer by venugopalramana(3286) (Show Source):
You can put this solution on YOUR website!
Minimize C = 2x + y with the following constraints:
-3x +4y< = 12
3x + 2y < = 6
y> = 0
LET US GRAPH THESE 3 GIVEN CONDITIONS....
-3x +4y = 12...................I
3x + 2y = 6.................II
y = 0.......................II

WE FIND THE VERTICES OF THE TRIANGLE FORMED BY 3 CONDITIONS...I,II AND III... AS (0,3),(-4,0) AND (2,0)
FIND THE VALUE OF GIVEN FUNCTION
C= 2X+Y AT THESE 3 POINTS
WE GET
C1=2*0+3=3
C2=2*-4+0=-8
C3=2*2+0=4
C2 =-8 IS MINIMUM...IF NEGATIVE ANSWERS ARE NOT ALLOWED FOR C ( THOUGH IT IS NOT MENTIONED IN THE PROBLEM) THEN C1=3 IS MINIMUM.

SOLUTION: I am not sure if this is the right place but: Minimize C = 2x + y with the following constraints: -3x +4y< = 12 3x + 2y < = 6 y> = 0 Thank you, lyra