Solve the following LP formulation and determine the number of Surplus units in constraint B.МАX5X + 2Ys.t.(A)X +Y(B)2 3< 82YX, Y8.3O 4V A VI AL2.

Given LP is MAX 5x+2y s.t. (A) x+y ≤5(B) x ≥3(C) 2y≤8 x,y≥0

Answered: Solve the following LP formulation and…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Acme Block Company has orders for 80 tons of concrete blocks at three suburban locations as follows: Northwood-25 tons Westwood-45 tons Eastwood-10 tons Acme has two plants, each of which can produce 50 tons per week. Delivery cost per ton from each plant to each suburban location is as follows: Northwood Westwood Eastwood Plant 1 Plant 2 1 24 30 Which one is a correct constraint? A. X11+X12+X13 = 10 OB. X11+X12+X13 ≤ 25 OC X11+X12+X13 = 45 OD. X₁1+X12+X13 ≤ 50 30 40 ہے 40 42
min x1 + x2 s.t. 3x1 + 2x2 ≥ 36 3x1 + 4x2 ≥ 48 x1, x2 ≥ 0 For the LP problem above, which are the binding constraints? 3x1 + 2x2 ≥ 36 3x1 + 4x2 ≥ 48 x1 ≥ 0 x2 ≥ 0
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Prove that any set of 7 distinct natural numbers contains a pair of numbers whose sum or difference is divisible by 10
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By how much would the optimal value of z approximately change as a result of a change in the size of the constraint from 7 to 8? Please enter the value below (report up to two decimal places, no fractions): z = 3x2 – xy x - y = 7 s.t. Answer:
Q1) Find the dual of the following LP. max z= +3x1 +10x2 +5x3 -4x4 -7x5 s.t. Constraint I +6x1 +8x2 -2x3 +8x4 -9x5 2 128 Constraint II -1x1 +3x2 -7x3 +9x4 -8x5 = 46 Constraint II +4x1 -5x2 +10x3 +9x5 2135 Constraint IV -7x1 +9x2 +8x3 +2x4 +2x5 2126 Constraint V -9x1 +3x2 -4x3 +10x4 -1x5 = 198 x1 urs, x2 s0, x3 <0, x4 urs, x5 s0

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Solve the following LP formulation and determine the number of Surplus units in constraint B. МАX 5X + 2Y s.t. (A) X+Y (B) (C) 2Y < 8 X, Y n 3 c O O Al VI