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With the proposed solution below of (X,Y) = (30,20) denoted by the green dot, se

ID: 3176423 • Letter: W

Question

With the proposed solution below of (X,Y) = (30,20) denoted by the green dot, select all statements that correctly describe the results. The problem is attempting to maximize profit.

(Multiple answers may be selected)

     A.    There is slack in all constraints.
   B.     Constraint 1 is binding.
   C.     Constraint 1 is currently redundant.
   D.     Constraint 2 is binding.
   E.     Constraint 3 is currently redundant.
   F.     The proposed solution lies within the feasible region.
   G.     Constraint 2 is currently redundant.
   H.     The solution is not optimal .
   I.     Constraint 3 is binding.
   J.     The solution may be optimal.

150 100 50 Constraint 1 30 X 10 Y 1500 Constraint 2 10 X 10 Y 1000 Constraint 3 X 50 100 50 150

Explanation / Answer

A: Yes. Given solution satisfies the contrain (less than and not equal to) So there is a slack in all contraints

B,E,G: Sincs there is slack, all contraints are redundant.

H: Solution is not optimal because the solution deos not lies on the boundary of constraints and does not lies in the feasible region,which is inside of triangle GHJ

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