Consider the following linear program Max. Z = 5 X₁ + 2 X₂ S. to - X₁ + X₂ ≤ 2 X₁-2 X₂ ≤4 5 X₁ +5 X₂ ≤ 50 X₁ 22 X₂=2 X₁, X₂20 1- Determine feasible region graphically. 2- Determine all redundant constraints.

Q: Let a1, a2,...,an be n non-zero real numbers for some integer n ≥ 2. Find the maximum 1x² = 16.…

A: The given function is, fx1,x2,...,xn=∑i=1nai2xi, and the Constraint is ∑i=1nxi2=16. To Find: maximum…

Q: What is the optimal solution to the following NLP (Use K-T conditions and the multiplier X for the…

A: Given NLP Max z=x1−x2, Let f(x1,x2)=x1−x2 ,Sub. to x12+x22≤1 ,Let g(x1,x2)=x12+x22−1  The objective…

Q: a. Consider the following constraints: + 2x₂ ≤ 4 X1 -X₁ + X2 ≤ 1 X1, X2 ≥ 0. After adding the slack…

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Q: Find the minimum value of the function z =2x+12y subject to the following constraints. x≤15 y≤ 13…

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Q: Write a relevant non negative integer value for *K* such that the problem remains feasible and the…

A: Given: Max Z=4x1+3x2 2x1≥12    (1)x1≥6  2x2≥18   (2)x2≥9 3x1+2x2≥K  3

Q: Max 5U + 8H s.t. 40U+80H = 0 Use Excel to answer these linear programming sensitivity analysis…

A: All the steps with screenshots are described below.

Q: Find a value for the constants p and q so that x₁ optimal solution of the resulting program. = 0, x2…

A: Note: We will be solving part (c) as asked. The given linear programing problem is: Maximize px1+qx2…

Q: Suppose there are two goods, good X and good Y . Both goods are available in arbitrary non-negative…

A: Given data  w=t= 10 P^x =t^y = 2 P^y=t^x=1

Q: For each of the following constraints, draw a separate aph to show the nonnegative solutions that…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Solve the linear programming problem by the simplex [yz-2x+34 method. Minimize 10x + 4y subject to…

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Q: Q2. Considering the following problem: Maximize Z = 50x₁ + 80x₂ subject to: X₁ + X₂ ≤ 20 5x₁ + 2x₂ ≤…

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Q: Q2// Find the optimal point from th nathematical model (by Big-M methods) xZ-150 x+110x)+280 x; x3…

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Q: 15 X6 0. X3 X5 -5 01 15 1 -1 x M= 10 %3D 01 -1 0. 1 0. 10 0. -1 1. -1

A: Step:-1 given table is  M =      x1 x2 x3 x4 x5 x6 Min. Ratio   -5 0 0 1* 0 0 0   x1 15 1 1 1…

Q: 8. min 3x1 + 4x2 + 6x3 +7x4+x5 2x1x2 + x3 + 6x4 5x5 6 x1 + x2 + 2x3 + x4 + 2x5 2 3 1, 2, 3, 4, 5 2 0…

A: given system min  3x1+4x2+6x3+7x4+x5         2x1-x2+x3+6x4-5x5≥6         x1+x2+2x3+x4+2x5≥3…

Q: y=0- c.x≥-3,yx+5 y=-3x-5 (-5,0)=X+5 X=-3 (-3, 4) (-3, 2 In the figure above, which of the following…

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Q: Solve the following linear program graphically: Maximize P = 4X1 + 6X2 Subject to X1+ X2 0

A: Given: Maximize P=4X1+6X2Subject to X1+X2≤6          .........1               3X1+2X2≤15…

Q: Find the value of the unknown variables and the maximum profit using the simplex method. Maximize Z:…

A: Given linear programming problem, Maximize Z=6x1+5x2Subject to2x1+x2=122x1+3x2≤242x1+9x2≥36 To find…

Q: Find the minimum value of z=3x+9y subject to the constraints x+3y≤10 ; 3x+y≥10; y≤x ; x≥0; y≥0 using…

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Q: Find the minimum and maximum values of z=6x + 2y, if possible, for the following set of constraints.…

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Q: I am working with a 2-D LPP that has four constraints. Below is the region of points that satisfy…

A: The given region of points that satisfies the first three constraints is,

Q: Q.2// Give the dual programming from the mathematical model : Max Z = %3D 3x1 + 6x2 s.t. 4x1 + 5x2 <…

A: Here the given problem is                                           Max Z=3x1+6x2…

Q: 3. Graph the feasible or acceptable region and use it to solve the for a linear programming problem:…

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Q: What is the shadow price of constraint 3? min z = x₁ + x2- 4x3 s.t. 6 X₁ + x₂ + 2x3 59 ks 52 -X1 X₂…

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Q: -4 y 8 5 (0, 3) a. x ≤ 5, y ≤ 6 b. x ≥ 5, y ≤ 6 c. x ≤ 5, y ≥ 6 d. x ≥ 5, y ≥ 6 -1 (0, 6) (5, 6)…

A: The answer is in step 2

Q: Solve the following linear programming problem by applying the simplex method to the dual problem.…

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Q: Consider the following LP: Maximize z = 3x1 + 2x2 Subject to: 2x1 +52 8 3x17x210 #1, #20 The optimal…

A: Consider the given LP problemWe have to find the range of  such that the current basic feasible…

Q: 8. Solve the following non-standard maximum value problems. Маx P= 3x, + 4x, St. +x, <12 5x, +2x, 2…

A: To solve the following maximize problem

Q: Consider the linear programming problem: Minimize/maximize z = 3x – 8y subject to: 81 — Зу 0 The…

A: The feasible region is

Q: The equality lines for the following constraints are shown in the graph below: 40x + 15y 120 25х +…

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Q: 2 2. (10 pts) Consider the product XY where x and y are positive numbers which 2, must sum to six…

A: Step 1:a. Write the constraint equation.Given that x and y are positive numbers which must sum to 6,…