Consider the LP model below: Max z = x1 + X2 S.t. 4x, + х, < 100 X1 + x2 < 80 X1 < 40 X1, X2 2 0 Computationally find how many basic solutions exist at most. a. b. Graphically show the basic solutions and basic feasible solutions (denote each point with a letter on the granh and state the feasible ones)

Q: Consider the following problem. Maximize Z= 3x₁ + 9x2, subject to 3x1 + 4x2 ≤ 12 x1 + 4x2 ≤ 6 5x1 +…

A: We have to find dual of given problem by the dual simplex method and the optimal solution.

Q: . Solve the following L. P. P. by Simplex method : Maximize : z = 4x1 + 10x2 Subject to : 2.x + x2 s…

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Q: O 3. Solve the following problem (assuming it has a solution) minimize 4 In(x + 2) + y subject to…

A: According to you we need to solve only question no. (3). (3) minimize 4lnx2+2+y2Subjected…

Q: 8.1.4 If cx = x1 +x2 + 3x3 is minimized subject to x1 + x2 + X3= 1, x> 0, show that two corners of…

A: Consider the given information.

Q: Graphically, solve the following problem using Branch and Bound Use x1 for branching. Problem Max…

A: Let us solve the given LPP by Branch and Bound method in the next steps.

Q: 2. Solve the following LP model using the simplex method. Minimize z =- 4x1 + 6x2 – 2x3 +4x4 Subject…

A: The objective is to solve the linear programming model using simplex method. Minimize…

Q: 2. Solve the following LP model using the simplex method. Minimize z = -4x, + 6xz – 2x3 + 4x4…

A: The problem is given : Max Z = - 4 x1 + 6 x2 - 2 x3 + 4 x4subject tox1 + 2 x2 + 2 x3 + 4 x4 ≤ 402 x1…

Q: For the given unbounded feasible region, the optimal solution of minimizing z-2x+5y is (o, 6) (1. 4)…

A:

Q: 1. A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

A: We have to find the dimensions of the tin can.

Q: i. What is the optimal solution if es (coefficient of x) is increased to 6? ii. How much increase or…

A:

Q: Solve the following LP problems using graphical method. Clearly draw the feasible region,…

A: To solve the given linear programming problem graphically, we want to draw all the inequalities on…

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

A:

Q: Solve the following LPP using the simplex / Big M Method Maximize: Z = 5X + 10Y Subject to the…

A:

Q: Maximize 5A + 6B Subject to: 4A + 2B s 420 1A + 2B < 120 A,B 2 0 Which of the following points (A,…

A:

Q: Consider the LPP: Max. z = 120 x1 +100 x2 %3D S. t. 2 x1 + 2 x2 s 8 5 x1 + 3 x2s 15 X1, X2 2 0 One…

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

A:

Q: Solve the following LP problems using graphical method. Clearly draw the feasible region,…

A: We  have  max Z=-x1+2x2                   s.t.                   x1+x2≤6                   -x1+2x2≤8…

Q: Given the LP Model Minimize: z x-y subject to: 4x -3y <0 x +y < 10 х, у 2 0 The LP problem has an…

A:

Q: Consider the following LP: max z = 21 – 4x2 s.t. x1 - x2 0. (a) Write down the dual of this LP.…

A: given  Solve Dual problem by Big M method...  .

Q: Q3. Complete the following iteration tableau of Maximization problem of LPP and comment on the…

A: Cj 2 1 0 0 0 Solution Cbi Basic  Variable x1 x2 s1 s2 s3   2 x1 1 0 -1 0 0 30 1 x2 0 1 -2…

Q: Suppose following simplex table:     2 3 1 -1 0 0 -100         x1 x2 x3 x4 x5 x6 x7…

A: To complete the given simplex table, compute the values of Z-C and Z.     2 3 1 -1 0 0…

Q: 3. Solve the following LPP problem by using graphical method: Мaximize: Z 3D сх + dy Subject to the…

A: First plot the constraints and shade the bounded region AB is the line x+2y=40 AD is the line…

Q: Consider the following LP problem developed at Zafar Malik's Carbondale, Illinois, optical scanning…

A: Please see the attachment

Q: Q4: Consider the following LP Max z= 3x1 -3x2 Subject to: -X1 + 4x2 2 8 X1 + X2 5 6 X12 0, x2…

A: (A) The Given Linear Programming problem is- Max Z =3x1-3x2subject to:-x1 + 4x2 ≥ 8x1 + x2 ≤ 6x1 ≥ 0…

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: 1. Solve each of the following LP with simplex and diagram method: Maximize z = 2x1 + 4x2 Min z =…

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Q: Use the Big-M method to find an initial basic feasible solution for the following LP: max z = 3x +…

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Q: (4,7) Given the feasible region, what is the value of x so that z=10x+y is maximum? а. О b. 4 с. 6 a…

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Q: Маx Z=5X1+2X2 S.T. 2X1+5X2 <10 4X1 - X2 < 12 X1+X2 < 4 X1,X2 2 0 Optimal solution is X1=3, X2=0 Z=…

A: We will solve the given LPP problem using the graphical method first we will find the region which…

Q: problem y'=−2−2x+4y,   y(1)=2.  y1=y1=    ? y2=y2=    ? y3=y3=    ? y4=y4=

A: Euler method

Q: 13. Consider the following linear program: Маx 1A + 2B s.t. 1A <5 IB <4 2A + 2B = 12 А, В 2 0 a.…

A: Given that  Max 1A+2B s.t. 1A        ≤51B≤42A+2B=12A,B≥0 a) Show the feasible region. b) extreme…

Q: Solve the following LP problems using graphical method. Clearly draw the feasible region,…

A: Answer

Q: Given the LP problem, Maximize z = 5x + 2y subject to x + 3y < 5, 2x + y < 2, x + y < 3, х,у 20. a)…

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Q: corresponding graph below. Maximize z = 5x + 4y Subject to: 3x + 2y = 8 x >= 0 y >= 0   From the…

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Q: Solve the following LP problems using graphical method. Clearly draw the feasible region,…

A:

Q: How many optimal basic feasible solutions does the following LP have? max z = 2x1 + 2x2 s.t. X1 + x2…

A: Draw the graph of the constraints

Q: 3. Consider the transportation problem having the cost and requirement table below. a. Obtain the…

A: We have to solve the transportation problem by all three methods, but we have to solve it by…

Q: Solve the initial value problem (25) u′′+u=12cost,u(0)=0,u′(0)=0 and plot the graph of the…

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Q: 18. Solve the following problem using the simplex method. At each iteration, locate the basic…

A: Given LPP is  Max Z=40x1+30x2 subject to 23x1+12x2≤2015x2≤535x1+310x2≤21x1,x2≥0 The canonical form…

Q: Use the KKT conditions to solve the following problem:      Min Z(X1 , X2) = 4(X1 -2)2 + 3(X2 – 4)3…

A:

Q: Consider the following LPproblem 2x1+3r2 marimize z = %3D 3x2 0 (non negativity const a. The…

A: Let us solve this problem graphically Let us consider the 1st constraint as -x1+3x2=12 x1 0 -12…

Q: Use the revised Simplex method to solve the following LP model: min z = 3x, + x2 + 3x3 s.t. X1 - x2…

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Q: • Consider the following LP: maximize 2x1+ 5x2 s.t. -x1 + 2x2 < 5 2x1 + 3x2 < 12 X1 + x2 2 -1 X1, X2…

A: We are given the following LPP problem : maximize 2x1 + 5x2 s.t. -x1 + 2x2 ≤ 5 2x1 + 3x2 ≤ 12 x1 +…

Q: The table below shows the cost of transporting a unit item in the given routes; FROM/TO 1 2 3 4…

A: We have to find the initial basic feasible solution for the given transportation problem. First we…

Q: Solve the given LP problem using the Simplex Method Minimize: Z = 25x1 + 35x2 Subject to: 3x1 + 4x2…

A: The given problem is to solve the given linear programming problem using the simplex method with…

Q: a) Consider the following LP problem. Maximize z = 2x, +x2 subject to 4x, + 3x2 S 12 4x, + x2 5 8…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.