SOLUTION: Please solve the following linear programming problem.
maximize :z=4x+2y
subject to: 7x-4y<=14
2x+y=>10
x=>2
y<=8
The maximum value is___
Algebra.Com
Question 1098380: Please solve the following linear programming problem.
maximize :z=4x+2y
subject to: 7x-4y<=14
2x+y=>10
x=>2
y<=8
The maximum value is___
The maximum occurs at what points ___
Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Graphing the feasible region, two points are clear, the other two you need to solve for.
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(,)
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Next solve for the intersection of the two lines,
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Adding to the first equation,
So then,
(,)
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Now check the value of the function at each of the vertices.
I'll do one, you do the other three the same way.
(2,6)
Do the others exactly the same way.
Answer by ikleyn(52847) (Show Source): You can put this solution on YOUR website!
.
On solving linear programming problems, see the lesson
- Solving minimax problems by the Linear Programming method
in this site.
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