SOLUTION: Find the maximum value of the objective function z = 22x + 8y,subject to the constraints. 3x + 2y < 18 9x + 3y < 45 x> 0, y > 0

Algebra ->  Inequalities -> SOLUTION: Find the maximum value of the objective function z = 22x + 8y,subject to the constraints. 3x + 2y < 18 9x + 3y < 45 x> 0, y > 0      Log On


   



Question 529703: Find the maximum value of the objective function
z = 22x + 8y,subject to the constraints.
3x + 2y < 18
9x + 3y < 45
x> 0, y > 0

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


This question has no answer. That is because your constraint inequalities are strictly less than rather than less than or equal. That is because the optimum point, if it exists at all, lies on a vertex of the quadrilateral bounded by the boundary lines of the four constraint inequalities. But since you have made the constraints strictly less than, you can pick a point as close as you like to the vertex of your feasiblilty area, and then I can find one closer, after which you can find one even closer, ad infinitum.

John

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