Maximize p = x + 3y subject to the following constraints. x – 4y ≤ 0 4x – y ≥ 0 x + y ≤ 10 x ≥ 0, y ≥ 0 The maximum/optimal value of p is ?  and the optimal solution is (?,?)

Q: 10 6. 0.9) 8. 7. 6. (5,0 3 2. 0 12 3 4 5 6 7 8 9

A:

Q: Find the maximum possible value of f = 80x + 160yand the values of x and y that give that value,…

A: Given: The objective function is f=80x+160y.            The constraints are…

Q: Find the maximum value of z =12x+9y subject to the constraints 4x+3y ≤36 8x+3y ≤48 x≥0, y 20

A: Given the objective function Maximize Z= 12x+9y. subject to  4x+3y≤368x+3y≤48x,y≥0 use the graphical…

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: Find maximum and minumum values of f(x, y, z) = 8x – 16y + 40z subject to the constraint x2 + y² +…

A: The explanation of answer as follows :-

Q: Find maximum and minumum values of f(x, y, z) = 3x – 6y + 15z subject to the constraint x2 + y² + z²…

A:

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

A:

Q: b. Minimization problem with ≤ constraints only Find the optimal solution of this LP. min z = 4x₁ -…

A: Min Z =   4 x1 - 15 x2 - 10 x3 + 0 S1 + 0 S2 + 0 S3 subject to     x1 + 2 x2 +   x3 +…

Q: The objective function is F = 25x - 41y + 36 Find the MINIMUM value of the objective function.

A:

Q: introduction to optimum design For the following problems, obtain all the base tables through…

A: We want to find optimum value

Q: Find the values of land g with ≥0 and g≥0 that maximize the following utility function subject to…

A:

Q: Maximize the function P = 7z - 5y subject to What are the corner points of the feasible set? The…

A: Given, 1

Q: Maximize subject to the constraints 13x1 x1 P = 10x₁ + 11x₂ + x3 x2 + 10x2 x1 ≥ 0 + 15x3 ≤ 70 7x3 44…

A: Maximize subjected to the constrain

Q: Maximize and Minimize P=2x+y Subject to x+y<or= 5                     -x+3y<or=3…

A: To determine: Maximize and Minimize:

Q: Determine the number of slack variables required. Maximize       z=15x1+7x2   subject​ to:…

A: Given,          Maximize z=15x1+7x2 subject​ to:              2x1+6x2≤20              15x1+x2 ≤50…

Q: Find the minimum value. Minimize C= 10x, + 16x2 - 5x3 X, + 3x2 54 4x2 + X3 s2 subject to X1, X2, X3…

A: The problem is converted to canonical form by adding the slack, surplus and artificial variables as…

Q: Maximize the function P = 7x - 4y subject to What are the corner points of the feasible set? The…

A:

Q: Maximize p = 2x + y subject to the following constraints. 2x – 3y ≤ 0 3x – 2y ≥ 0 x + y ≤ 10 x ≥ 0,…

A: the objective function of the given LPP is maximise p=2x+y subject to 2x-3y≤0 3x-2y≥0 x+y≤10 x≥0,y≥0…

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…

A:

Q: P= 11x, + 10x2 + 6x3 X1 + 3x2 + X3 s 40 2x, + X2 + 3X3 s 20 Solve the linear programming problem.…

A: According to the given information, it is required to find the maximum value of P at  x1, x2, x3.

Q: Q1. Graph the following constraints. Indicate the feasible Region for the constraints and detemine…

A: 5 x1 + 4 x2 ≤ 40   3 x1 + 5 x2 ≤ 30         10 x2 ≤ 50 and x1,x2≥0; Hint to draw…

Q: Maximize (if possible) the quantity z = 5x + 7y subject to the constraints below ? x+y≥2 2x + 3y…

A:

Q: Q. Find the absolute minimum value of w = x? + y2 + z subject to the constraints 2x + y + 2z = 9 and…

A: Solution :-

Q: x + 2y ≤ 40 2x + y ≤ 40 Use the following constraints to maximize z = 3x + 2y. { x + y ≥ 10 x>0 y 0…

A:

Q: minimum of the function z=-2x1+x2 under the constraints system {3x1-2x2≤12 -x1+2x2≤8 2x1+3x2≥6 x1,…

A: To minimum of the function  under the constraints system.

Q: Solve this LP max z=31 +20 +2.503 8.t.. has optimal tableau So B = 1 + ₂ + 2003 2x1 + 2x3 #1, 2, 3 >…

A: Given that the linear programming problem:        max z=3x1+2x2+2.5x3,s.t.         x1+x2+2x3≤4,…

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: 2.3/ Solving a minimization problem, find the minimum value of v=0.12x1+0.15x2 Subject to the…

A: Given: W=0.12x1+0.15x2 Subject to the constraints: 60x1+60x2≥300 12x1+6x2≥36 10x1+30x2≥90

Q: Maximize and minimize p = x + 2y subject to x + y ≥ 4 x + y ≤ 6 x − y ≤ 4 x − y ≥ −4. Maximum: p…

A: Graphical method to solve a linear programming problem  Replace the ≥,≤ sign to '=' sign in each of…