what's the dual problem of the following linear program:maximize5x1 + 4x2 + 3x34x1 + 3x2 + x3 ≤ 104x1 + x2 + 2x3 ≤ 113x1 +4x2+2x3 ≤ 8X1, X2, X3 ≥ 0

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Answered: what's the dual problem of the…

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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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…
Is this constraint linear or able to be included as a constraint in a linear programming problem? 4X1 – (1/3)X2 = 75
3. Solve the following linear programming problem. Maximize: z= 4x + 5y Subject to: x+ys4 x-y2-2 x<3 x20, y 20
Solve the linear programming problem. Maximize P = 4x + 4y Subject to 2x+ys 20 x + 2y ≤ 16 x, y 20
Use the simplex method to solve the linear programming problem. z = 8x, - 7x2 + 6x3 2x, - X2 + 8x3 s 44 4x, 5x2 + 6x3 s 76 2x, - 2x2 + 6x3 s 34 X, 20, x2 20, x3 20. Maximize subject to Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum is when x, = x2 = X3= S, = $2 =, and s3= %3! B. There is no maximum. Click to select and enter your answer(s).
Solve the following linear program by simplex method: minimize -x12x₂ 2x1x2 ≤ 4 - x1 + x₂ ≤ 2 3x1 + x2 ≤ 6 x1 + x₂ ≥ 1 x1, x2 > 0
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what's the dual problem of the following linear program: maximize 5x1 + 4x2 + 3x3 4x1 + 3x2 + x3 ≤ 10 4x1 + x2 + 2x3 ≤ 11 3x1 +4x2+2x3 ≤ 8 X1, X2, 3 > 0