First, find a feasible solution of the following LP problem 4). in standard form. Then, convert the problem into canonical form. Use the feasible solution of the LP problem in standard form to obtain a feasible solution of the LP problem in canonical form. Maximize z = [1 3 5 x2 x3 subject to 3 7 0 3 -2 6. < |-3 1 X2 2 6 4 14 X2 > 0. X3

Q: 2) A company produces and sells smartphones. The revenue for one smartphone is $900. The cost to…

A: NOTE: Refresh your page if you can't see any equations. . the give cost function is  where x is the…

Q: Prove that the number of feasible solutions of an LP problem (in canonical form) is either 0, 1, or…

A: A feasible solution to a linear program is a solution that satisfies all constraints. let us…

Q: Solve the following LP using the simplex method. Maximize z = 4x1+3x2+6x3 subject to 3x1+x2+3x3 0

A: Given that Maximize z=4x1+3x2+6x3 subject to 3x1+x2+3x3≤302x1+2x2+3x3≤40             x1,x2,x3≥0

Q: 6. Solve x2 - 4x + 3 = 0 by graphing. n value

A: Quadratic equation using graph

Q: max z = 3x₁ + Sx25x3 + 8x4 nx1 + x2 + x3 + 3x4 ≤ 7 -x₁- (s+n)x2 - X3 X4-2 X1, X2, X3, X4 20 -

A: (.) Given,           (.) standard form of maximization problem is,        then dual problem is given…

Q: Evaluate the expression a+b a+b when a=23a=23 and b=45b=45. Write in simplest form

A: # the expressions are printed twice , taking them once given a=23 and b=45 The value of a+b is as…

Q: Solve the following constrained maximization and minimization problems, illustrating your answer…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 6. Use the simplex method to find the maximum value of subject to + 6x 58 + 12 , X 20.

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Q: Solve the following problem by using the Simplex approach: Maximize Z = 4X1…

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Q: Consider the following linear optimization model: (P) max s.t. x1 + 2x₂ -x1 + x₂ ≤ 6 x12x2 0. 1.…

A: Given Information:The Linear programming model is given as follows:Subject to the…

Q: On the basis of projections for the year 2022, the number of women and men in the workforce (in…

A: 2014 means x=14 So 2022 should mean x=22

Q: (3) Write the standard form of the following LP. Use the Big M method to solve it and write the…

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Q: PART 3 ( 3). Solve the LP Problem using the Graphical Method and answer the questions below. Max Z =…

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Q: 1) Use revised simplex method. following lineur Maximize Z=x₂₁₂₁ + x₂ + x3 Subject to: method to…

A: As per the question we are given a Linear Programming Problem which we have to solve using revised…

Q: [3.6] Consider the following problem: Maximize -3x₁ subject to -X1 + 2.x1 x1 2x2 X2 3x2 S 1 6 0 X₂…

A: Given: Maximize -3x1-2x2subject to-x1+x2≤12x1+3x2≤6x1≥0x2≥43 To Find: (a) Solve the programming…

Q: 10) Solve this linear problem using the Big M method. Min z = x1 - 2x2 + x3 Subject to: xl + x2 -x3…

A:

Q: 1. If the total revenue received from the sale of x items is given by R(x) = 10 ln(2x + 1) while the…

A: As per the guidelines, I am providing the solution to the first question Answer 1: R(x) = 10…

Q: ¹) solve the following PDE Using method. Y 22x + x 22y = xy the multiplier

A:

Q: 2.SOLVE USING BIG-M METHOD Maximize 3x1 - x2 subject to X1 X2 ≤ 3 2x1 < x₂ x₁ + x₂ ≥ 12 X1, X₂ 20

A:

Q: 3. Use Dual Simplex method to solve the following LPP. Maximise subject to Z=3x+2x2 +13 3x1 + x2 +…

A: Maximize Z=3x1+2x2+x3 Subject to: 3x1+x2+x3≥3(Constraint 1)−3x1+3x2+x3≥6(Constraint…

Q: Consider the following L.P. Problem: Max.Xo= 3 x1 +12 x2 Subject to: 2x1 + X2 ≤12 3x1 + 4X2 ≥ 21…

A: The given LPP is            Max   X0=3x1+12x2 subject to:           2x1+x2≤123x1+4x2≥21x1≥3x1≥0,…

Q: 5. Use duality to show that the following LP has an optimal solution 2x1 - X2 Subject to 2x, -X2 - X…

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Q: min X2 subject to X2 = 1 X1, X2 > 0

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Q: 3. Use the graph of the combined function y = 2*- x² to determine an approximate solution to the…

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Q: 22x1 + 44x2 + 33x3 subject to x1 + 2x2 + x3 > 3, x1 + x3 > 3, 3x1 + 2x2 + 2x3 > 8 using two…

A: i) Dual problem: Primal is  MIN Zx =   22 x1 + 44 x2 + 33 x3 subject to     x1 +…

Q: f(x) = 2х2+3x-4

A: The fixed point iteration method uses the formula: xn+1=ϕ(xn) to perform the iterations and to…

Q: 5. A company has found that its weekly profit from the sale of x thousand hula hoops is given by…

A: To solve the following problem

Q: 3. Write the dual for each of the following primal problems: (a) Maximize z = -5x₁ + 2x₂ subject to…

A: (a) Primal:Maximize  z=−5x1+2x2Subject to  −x1+x2≤−2  2x1+3x2≤5           x1,x2≥0Here primal have…

Q: 6. (8 points) Solve the problem below using the simplex method. Minimize C = 9x₁ + 2x2 subject to…

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Q: Solve the following LP problem using graphical method. Max z = 3x₁ + 4x₂ Subject to 2x₁ + x₂ < 10 x₁…

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Q: (3) Let a ≥ 0 and consider the following LPP: maximize x1+ ax2 subject to 4x13x212 x1≥0 x2 free Find…

A: Given, a Linear Programme Programming:maximize subject to  is free (or unrestricted)It is required…

Q: Determine the maximum and minimum values of quadratic form Q(x) subject to the constraint xx = 1.…

A: subjected to constrain

Q: 20. What is the largest possible value of the quadratic form 9(x1)2 + 7(x2)? +11(x3)² – 8x1x2 +…

A: What is the largest value of the quadratic form9x12+7x22+11x32-8x1x2+8x1x3if xTx=1.

Q: 9. Maximize subject to 2x + 7x2 -2x, + x2S-4 X - 2x S-4 and x 2 0, x2 2 0.

A: 9 Given Maximize Z=2x1+7x2 Subject to −2x1+x2≤−4x1−2x2≤−4 And x1≥0, x2≥0 Solve equation −2x1+x2=−4…

Q: x4 - 5x3 + x – 4 x2 - 7x + 1 uotient emainder

A:

Q: Using Excel Solver, solve the following LP model. x₁ = In-state freshmen in college i; i = 1, 2, ...…

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Q: Use the graphical method to solve the problem: ze Z = 2x₁ + x₂₂

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Q: [3.6] Consider the following problem: Maximize - 3x1 subject to -₁ 2.11 X1 ++ 2x2 3x2 ≤ Σ 1 6 0 X₂…

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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