same approa(3.8] Consider a maximization linear programming problem with extreme pointsX₁, X2, X3, and x4, and extreme directions d₁, d2, and d3, and with anobjective function gradient c such that cx₁ = 4, cx₂ = 6, cx3 = 6, cx4 = 3, cd₁= 0, cd₂ = 0, and cd3 = -2. Characterize the set of alternative optimal solutionsto this problem.ing linear programming problem:

Given: Let an objective function gradient c such that cx1=4, cx2=6, cx3=6, cx4=3, cd1=0, cd2=0 and…

Answered: same appr 13.8] Consider a maximization…

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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1. Give the dual of each of the following linear programs: (a) maximize 100x₁ + 200x2 + 300x3 + 400x4 subject to x1+2x2+3x3 - 4x ≤ 10, -5x16x27x3+8x4 -20, 9x1+102+11x3-12x4 = 30, X1, X30, x40, x2 unrestricted
An investor has $621,000 to invest in bonds. Bond A yields an average of 8% and the bond B yields 7%. The investor requires that at least 5 times as much money be invested in bond A as in bond B. You must invest in these bonds to maximize his return. This can be set up as a linear programming problem. Introduce the decision variables: x= dollars invested in bond Ay= dollars invested in bond B Compute x+y. $ . Round to the nearest cent. Investor Matt has $152,000 to invest in bonds. Bond A yields an average of 9.2% and the bond B yields 8.4%. Matt requires that at least 4 times as much money be invested in bond A as in bond B. You must invest in these bonds to maximize his return. What is the maximum return? $ per year. Round to the nearest cent. Investor Dan has $607,000 to invest in bonds. Bond A yields an average of 8.5% and the bond B yields 8.4%. Dan requires that at least 4 times as much money be invested in bond A as in…
6.2 5 please help with A B C
A LP model is given as Max z = 3x1+ 2x2 Subj to 2x1 + 2x2 0 Obtain the dual of the model. Use the variables y1, Y2, Y3, · . . Objective function: Min w= Constraint 1: Constraint 2: With: >0
Find the optimal Solution for the Following linear the Programming model using graphical method: Min Z = 41 X, +35 Xe sub. to: 2X+3X2 1250 X1+ X2250 5X1 + 3X2 900 232.5 0.6x1 +0.25 x27 X1, X270
Formulate but do not solve the following exercise as a linear programming problem.A company manufactures x units of Product A and y units of Product B, on two machines, I and II. It has been determined that the company will realize a profit of $3 on each unit of Product A and $5 on each unit of Product B. To manufacture a unit of Product A requires 5 min on Machine I and 5 min on Machine II. To manufacture a unit of Product B requires 9 min on Machine I and 5 min on Machine II. There are 269 min available on Machine I and 205 min available on Machine II in each work shift. How many units of a product should be produced in each shift to maximize the company's profit P in dollars? Maximize P = subject to the constraints Machine I Machine II x ≥ 0 y ≥ 0

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