[3.47] The following is the current simplex tableau of a linear programmingproblem. The objective is to minimize -2x4 x5 - 2x6, and x₁, x2, and x3 arethe slack variables.Nx6X2X4N1000X1b230x2C0deX30-14/32fX4X5000 5/212h1x6 RHSg-12100a0a.Find the values of the unknowns a through h in the tableau.b. Find B-¹.C. Find ax₂/0x₁, Oz/ əx5, Əx6/b₂.d. Without explicitly finding the basic vectors a6, a2, a4, give the rep-resentation of the vector as in terms of these basic vectors.[3SISC12a

Answered: Image /qna-images/answer/80b70de0-6dba-4239-9814-e398e9b11ef9.jpg

Answered: [3.47] The following is the current…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Solve the linear programming problem. What is the maximum value of z? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. z = 5x + 5y 5x +7y 2 95 16x – 11y 2 137 Maximize subject to O A. z= x+ys44 x20 (Type an integer or a fraction.) O B. There is no maximum value of z. y20
Qy: Solve the following linear programming problem graphically Maxz=4x,+5x, Subject to 3x,+1,
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…
Use graphical methods to solve this linear programming problem. OA. The maximum value is (Simplify your answer.) OB. There is no maximum. Maximize subject to: ... What is the maximum value of z? Select the correct choice below, and if necessary, fill in the answer box to complete your choice. z = 5x + 6y 2x-3y ≤ 12 x + y24 3x + 4y ≥ 32 x20 y20 At what point(s) does the maximum value of z occur? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The maximum value of z occurs only at the point(s) OC. There is no maximum value of z. (Type an ordered pair. Use a comma to separate answers as needed.) OB. The maximum value of z occurs at the points and at all points on the line segment connecting them. (Type an ordered pair. Use a comma to separate answers as needed.)
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
#4 Set up the simplex matrix used to solve the linear programming problem. Assume all variables are nonnegative.Maximize f = 6x + 9y + 6z subject to 4x + 7y + 9z ≤ 100 6x + 5y + z ≤ 135 x + 4y + 9z ≤ 30
Find the solution to the following linear programming problem using the simplified method: Max Z: 5X1 + 10X2S.T X1 + 3X2 ≤ 62X1 + 2X2 ≤ 4x1, x2 ≥ 0
Formulate a linear programming problem that can be used to solve the following question. An airline has three types of airplanes and has contracted with a tour group to provide transportation for a minimum of 70 first-class, 52 tourist, and 108 economy-class passengers. The first plane costs $4100 for the trip and can accommodate 36 first-class, 16 tourist, and 18 economy-class passengers; the second plane costs $4800 for the trip and can accommodate 8 first-class, 10 tourist, and 42 economy-class passengers; the third plane costs $6300 for the trip and can accommodate 18 first-class, 36 tourist, and 16 economy-class passengers. How many of each type of airplane should be used to minimize the operating cost? X = ---Select--- y = ---Select--- ---Select--- Z |||| ---Select--- | F = AC UB Subject to X ---Select--- 0, y ---Select--- (objective function) (first-class passengers) (tourist passengers) (economy-class passengers) 0, z ---Select--- 0 (nonnegativity constraint)
Below is the Simplex table of a basic feasible solution (BFS) of a linear programming problem where some values are represented by letters. RHS X5 f X2 X3 X4 a 3 b 4 1 e h -5 -3 -1 -1 1 2 d 1 -4
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