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…
In solving a problem where 100 different products (100 real variables) are produced using just two resources (2 slack variables), then the combination that will yield the optimal profis A. to produce all 100 products if both resources are used to full capacity. B. to produce, at most 2 products. C. none of the choices are correct. D. to produce only one product.
6.2 5 please help with A B C
1. . Solve the following linear programming model graphically: minimize Z = 3x, + 6x2 pubject to 3x, + 2x2 s 18 X + x2 2 5 X S 4 x2/x, s 7/8 X1, X2 0
1. . Solve the following linear programming model graphically: minimize Z = 3x, + 6x2 pubject to 3x1 + 2x2 s 18 X1 + x2 2 5 X2 s7 X2/x, s 7/8 X1, X2 0
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
Huhuhuu solve for me all plz .....

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