Midterm (Page 2)

Midterm (Page 2) - 2(50 points total Solve the following...

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Unformatted text preview: 2. (50 points total) Solve the following problemfnﬁmphrealer-S-poimQrand (b) using the 2—Phase simplex method (35 points). 89 Min z=2x1 +3X2+X3 ~ Max z: '11:, am mg g—O S-t- 'X! ' 4X2 ‘2X3 3-8 bx: _4K;.'1K5 +§r44¥\$ X. +4‘L42ﬁs “\$1 ”4 r 3 -3X1 - 2X2 5-6 ‘5“, -2)<L+§L1AJ: 1; 5m *2}: "Sr “/43 -‘ G X1,X2,X3 20 aﬂ-4.+41=w‘mm {:5 61'?th 1 3. (20 points) True or false: fa. Every LP with an unbounded feasible region has an unbounded solution. Q’s-e k/b. The typical reason for an unbounded LP is that revenues can be very high if product L’? 5 quantities are very large. 9’56 '/ ’Z/O xq’ﬁe/I‘he typical way to overcome an infeasible LP is tobuy more of the limiting materialIrve /' rm "A. . . . . . . . d. In an LP tableauagiaslbilaﬁs detected by negative coefﬁcients in the constraint rows under a non-basic variable that is eligible to become a basic variable. Egg ...
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