MATH 444 Midterm: MATH 444 NIU T2s

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15 Feb 2019
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Exam 2: consider a primal problem wit h. 0 2 3 and a final t ableau given by. T he basic variables are 1 y x x and it follows t hat. 2 3 6: consider t he problem max 3 x. 1 wit h a final t ableau given by. 27 / 5 (a) t he t hird slack variable has value 4. It follows t hat 3b can be reduced from 6 t o 2 wit h t he same opt imal solut ion. 3 so only t he t hird ent ry changes, it follows t hat. 4 answer is no. b+ and hence. 3 (b) t he first slack variable has value 0. , and hence t he answer is yes, by a t hird of a unit . 1 (c) t he dual solut ion is unique.

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