Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max. Z = 4 X1 + 14 X2 Subject to; X1 + 3 X2 s 9, 3 X1 + X2 9, %3D 4X1 <8

Q: Solve the given linear programming problem. Minimize z 6x +dy subject to x 2 0, y 2 0, x + y 2 4, x=…

A: The given subject to constraints:-  x≥0,y≥0, x+y≥4, x≤8,y≤10. Maximizing z=6x+4y

Q: State the dual problem for the given problem, but do not solve it. w = 8y, + 2y2 subject to y, + 9y2…

A: The given primal problem is as follows. Minimize w=8y1+2y2 Subject to…

Q: 2. Maximize. z subject to 2x1 + 3x2 – 4x3 = 3x1 - 2x2 + x3 0, x2 > 0, x3 > 0.

A:

Q: 9 Graphically determine two optimal solutions to the following LP: min z = 3x1 + 5x2 3x1 + 2x2 > 36…

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Q: 1. Shade and label the feasible region R which satisfies: y<-x+6 3 y2-xーニ 2 1 2 y< 2x+4 y54 [5M]

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Q: What is the optimal value of the OF for min Z = 4X1 + 3X2, subject to X1 +2 X2 >= 6?

A: Given problem : Min Z =   4 x1 + 3 x2 subject to     x1 + 2 x2 ≥ 6 and…

Q: Maximize 3x₁ + x2 subject to -₁ + 2x2 ≤ 0 X₂ ≤ 4. a. Sketch the feasible region. b. Verify that the…

A: We are given the linear programming problem Maximize 3x1+x2subject to -x1+2x2≤0x2≤4 First we draw…

Q: 1. Determine the optimal value and whether the optimal value is the maximum or minimum? a) z = 4x2 –…

A:

Q: Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max.…

A:

Q: Q3/ Use the graphical method to solve the following LP problem. Minimize Z=-x, + 2x₂ subject to the…

A:

Q: c) Maximize Z = 3x1+ 4x2+ 2x3 subject to: X1+ 2x2 + 0x3 s 10 2x1 + 2x2 + x3< 10 X1, X2, X3 20 d)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 2. Solve the following LP: Maximize z = 2x1 – x2 + 3x3 subject to X1 – X2 + 5x3< 10 2x1 - X2 + 3x3 <…

A:

Q: Maximize p= 2x + 5y subject to 2x + 3y =0, y>= 0

A:

Q: Q1:- How do you determine if an LP problem has alternative optimal solutions.…

A: An LPP is said to have alternative optimal solution or multiple solution if the non-basic variable…

Q: What appears to be the maximum value of P = 5x+6y for the feasible region in the graph? 16 15 14 13…

A: Hint : Maximum value of P occurs at corner point of feasible region.

Q: For the given feasible region, the optimal minimum value of the objective function z=5x+3y is at…

A: Graph of  Z=5x+3y for constant Z will be:

Q: Find the maximum and minimum values of the given objective function of the indicated feasible…

A: Given: Objective function: Q=70x+82y  ……1   Constraints are: x≥0,y≥0x≤10,y≤20x+y≥5x+2y≤18……1

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: 22. Given the L.P.P: Maximize Z = 8x, + 19x2 + 7x3 Subject to 3x1 + 4x2 + x3 S 25, X1 + 3x, + 3x3 <…

A: The given L.P.P is:

Q: For the feasible region given in the figure and the objective function z = 36x + 50y, a. Determine…

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Q: Maximize p = 5x − 4y + 3z subject to 10x + 10z ≤ 100 5y − 5z ≤ 50 10x − 5y ≤ 50 x ≥ 0, y ≥ 0, z ≥…

A:

Q: Consider the following linear program. Min Z = 3 * x 1 + 4 * x 2 S.t. 1* x 1 + 3 * x 2 >= 6 1* x 1 +…

A: The given linear programming problem is, Min Z=3x1+4x2S.t.x1+3x2≥6x1+x2≥4x1,x2≥0

Q: Solve the given linear programming problem. Minimize z= 2x + 3y subject to x20, y2 0, x+ y2 3, 2x+…

A: Firstly make the graph of the inequalities and find all boundary point.

Q: Determine the optimal solution using graphical method. Maximize: Z= 20x – 4y Subject to: 2x + y 2 8…

A: Given

Q: Solve the LPP by using Big M method Maximize z = x1 + 5x2 subject to 3x1 + 4x2 s6 x1 + 3x2 2 2 x1,…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

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: O Using Graphical method to find the feasible region and the optimal solution of the following: Max…

A: We will find out the required solution.

Q: e following linear optimization model: Maximize z(x1, x2) = 4x1 + 4x2 Subject to

A: In this question, concept of Linear Programming is applied. Linear Programming Linear programming is…

Q: Find the optimal value(s) of the objective function on the feasible set S. Z = 5x + 7y minimum…

A: Find the values of Z at all vertex. Check at each vertex where it gives minimum and where it gives…

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

A:

Q: Maximize p = x + y subject to x + 3y ≤ 8 3x + y ≤ 8 x ≥ 0, y ≥ 0.

A: Solve LINEAR PROGRAMMING Problem by using graphical 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: 1. Consider the following LP: Maximize z = x, + 3x, subject to *, + x, < 2 - x, + x, 5 4 x,…

A:

Q: Use graphical methods to solve the following linear programming problem. Minimize: z= 2x+y subject…

A:

Q: 18. Maximize P = 4x – y subject to 2x – 3y 2 -6 2x + y < 6 x + 3y 2 3

A:

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

A: Answer

Q: Solve the linear program Maximize p = 3x+ 2y Subject to: 3x + y 0

A: Maximize p=3x+2y Subject to: 3x+y≤30x+y≤12x+3y≤30x≥0, y≥0 Now the graph is,

Q: Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max.…

A:

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

A:

Q: 2. A consumer is faced with a utility function u(x, y) = 4x² + 3xy + y² And his budget constraint is…

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: 7- 4- 3- -1 2 3 4 5 6 7 8 9 10 Maximize x-5 y for the bounded feasible region displayed above.

A: We have to find the maximum value of (x - 5y) fir the given feasible region in the graph. Using…

Q: 3. Maximize p = x - y subject to 5x · 5y s 20 2х 10y s 40 x 2 0, y > 0. ANSWER ! p= 4; x = 4, y = 0

A:

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

A:

Q: 1. Shade and label the feasible region R which satisfies: ys-x+6 1 y2-xーー y< 2x+4 y54

A:

Q: Q5. For the given feasible region, use the graphical algebraic method to find the optimal minimum…

A: Minimum value of function is the value which is smallest value in range of function, that is…

Q: Find the corner point that gives the optimal solution for the objective profit function: Max P= x, +…

A: Solution: Given data, Max P = x1 + 4x2 5x1 + 2x2 &lt;= 40.......1  x1 + 3x2 &lt;= 21........2…