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Given the Following Linear Programming Problem with Two Non-Negative Variables (X1\left(X_{1}\right.

Question 37

Multiple Choice

Given the following linear programming problem with two non-negative variables (X1\left(X_{1}\right. and X2) ,3\left.X_{2}\right) , 3 constraints (all \leq type) , and a maximize objective function (Yi\left(Y_{i}\right. , where i=1,2,3i=1,2,3 , respective to the dual variables associated with constraints 1,2 and 3 ) ,
Max: 250X1+500X2250 X_{1}+500 X_{2}
Constraints: X13202X1+5X211001X1+1.2X2480X_{1} \leq 320 \quad 2 X_{1}+5 X_{2} \leq 1100 \quad 1 X_{1}+1.2 X_{2} \leq 480
Variables are non-negative
One of the constraints of the dual problem is


A) 0Y1+2Y2+1Y32500 Y_{1}+2 Y_{2}+1 Y_{3} \geq 250
B) 1Y1+2Y2+1Y32501 Y_{1}+2 Y_{2}+1 Y_{3} \geq 250
C) 1Y1+2Y2+1Y33201 Y_{1}+2 Y_{2}+1 Y_{3} \geq 320
D) 0Y1+2Y2+1Y35000 Y_{1}+2 Y_{2}+1 Y_{3} \geq 500

Correct Answer:

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