SOLUTION: MINIMIZE USING SIMPLEX METHOD
Z=600X1+ 400X2
1500X1+ 1500X2 >20,000
3000X1+ 1000X2 >40,000
2000X1+ 5000X2 >44,000
X1, X2 >0
NB: the > sign is greater or equal to.....
Algebra.Com
Question 953806: MINIMIZE USING SIMPLEX METHOD
Z=600X1+ 400X2
1500X1+ 1500X2 >20,000
3000X1+ 1000X2 >40,000
2000X1+ 5000X2 >44,000
X1, X2 >0
NB: the > sign is greater or equal to.....
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
MINIMIZE USING SIMPLEX METHOD
Z=600X1+ 400X2
1500X1+ 1500X2 >20,000
Graph x1 = -x2 + (4/3)
Shade the area above it.
-------------------------------
3000X1+ 1000X2 >40,000
Graph x1 = (-1/3)x2 +(4/3)
Shade the area above it.
-----------------------------
2000X1+ 5000X2 >44,000
Graph x1 = (-5/2)x2 +22
Shade the area above it.
------
X1, X2 >0
Means the graphs are restricted to QI
------
Find the intersections of the boundary lines.
Test each of those x/y pairs in the objective function to mind the minimum.
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NB: the > sign is greater or equal to.....
================
Cheers,
Stan H.
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