SOLUTION: Solve the equation:
Z = 4x + y
knowing that:
x + 2y <= 40
x + y <= 30
2x + 3y <= 66
both x and y are >= 0
Algebra.Com
Question 923166: Solve the equation:
Z = 4x + y
knowing that:
x + 2y <= 40
x + y <= 30
2x + 3y <= 66
both x and y are >= 0
Found 2 solutions by Fombitz, chawki:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Graph
.
.
Graph also.
.
.
Graph also.
.
.
Find the points of intersection.
Then,
(12,14)
.
.
.
Then,
(24,6)
.
.
.
The extrema of Z occur at one of these vertices.
Not sure if you need the maximum or minimum.
(0,0) : <-- Minimum
(0,20) :
(12,14) :
(24,6) :
(30,0) : <-- Maximum
Answer by chawki(7) (Show Source): You can put this solution on YOUR website!
can we solve that by determinent?
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