question archive How should the constraint, 5X1 – 2X2 => 6 , be converted into simplex tableau form? a

How should the constraint, 5X1 – 2X2 => 6 , be converted into simplex tableau form? a

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How should the constraint, 5X1 – 2X2 => 6 , be converted into simplex tableau form?

a. 5X1 – 2X2 + 1S1 + 1A1 = 6

b. 5X1 – 2X2 – 1S1 + 1A1 = 6

c. 5X1 - 2X2 – 1S1 = 6

d. 5X1 – 2X2 + 1A1 = 6

e. none of the above

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Answer: b .

The given inequality is

?5x1?−2x2?≥6?

Adding surplus variable,

?5x1?−2x2?≥65x1?−2x2?−S1?=6??

Adding the artificial variable,

?5x1?−2x2?−S1?+A1?=6?

Therefore the correct option is option B).