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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2. The canteen manager is required to prepare meals that satisfy the minimum daily requirements of protein (P), minerals (M), and vitamins(V). Suppose that the minimum daily requirements have been established at 14P, 10M, and 6V. The manager can use either meat or fish in the preparation of meals. Meat contains IP, IM, and IV per kilo. Fish contains 2P, IM, and 0.5V per kilo. The price of fish is $2 per kilo, and the price of meat is $3 per kilo. What combination of ingredients for the meals should the canteen manager use to fulfill the minimum daily requirements of protein, minerals, and vitamins at the lowest possible cost per student?
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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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a) k 7 Min x2dt Subject to constraint "x²dt = 1, x(0) = x(n) = 0 b N
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| y?dx – yz²dy – sen(z)dz, where Cis the path connecting the point A(-2, 2, 4)to the point B(1,2, 1)by the parable z = x2on the plan y = 2. %3D
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