Maximize f = 4x + 7y subject to the following constraints: x+2y≤7 5x+3y≤12 y≤3 x and y are non-negative

Q: Maximize subject to: Z = $140×₁ + $150x₂ 8x1 + 2x₂ 40 9x2 + 3x₂ ≤ 120 X1, X₂ ≥0

A:

Q: Maximize z = 60x1 + 120x2 + 30x3, subject to 5x1 + 5x2 + 10x3 ≤ 1000 10x1 + 8x2 + 5x3 ≤ 2000 10x1 +…

A: The LPP is:Maximize z=60x1+120x2+30x3Subject to5x1+5x2+10x3≤100010x1+8x2+5x3≤200010x1+5x2≤500x1≥0,…

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: Minimize 4X + 9Y, constraints: 5X + 3Y s 30, 7X • 2Y s 28, X 2 0, Y 2 0

A: Given constraints are 5x+3y≤30 and  7x+2y≤28, x≥0,y≥0. Draw the given inequalities and obtain the…

Q: Find the values of x, y, and z that maximize xyz subject to the constraint 480 - x - 5y -8z =0

A: Max:  xyz Subjected to constrain: 480-x-5y-8z=0

Q: f(x, y) = 4x² + 5y2 on the closed triangular region bounded by the lines y = x, y = 2x, and x+y=6 A)…

A: I have explained everything with in the solution. Please go through that.

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: Maximize the objective function 4x+9y subject to the constraints   −2x+6y≤96 4x+8y≤168 14x+10y≤336…

A:

Q: Maximize z = 3x1 + 4x2 Subject to x1 + x2 ≤ 4                   2x1 + x2 ≤ 5                   x1 ≥…

A:

Q: Maximize Z = 10x1 + 20x2; Subject to -x1 + 2x2 ≤ 15 x1 + x2 ≤ 12 5x1 + 3x2 ≤ 45 and x1 ≥0, x2 ≥ 0

A: Given -  Maximize Z = 10x1 + 20x2Subject to :-x1 + 2x2 ≤ 15x1 + x2 ≤ 125x1 + 3x2 ≤ 45x1, x2 ≥ 0 To…

Q: Use Lagrange multipliers to find the extreme values subject to the constraint please.

A:

Q: Maximize z = 10x₁ + 55x2 + 50x3, subject to 16x1 4x2+ 9x3 S 122 8x₁ + 13x2 + 22x3 ≤ 142 6x215x3 S…

A:

Q: Maximize z = 2x1 + x2  subject to: x1 + x2 ≤ 71  3x1 + x2 ≤ 175   x1 ≥ 0, x2 ≥ 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: Write the simplex tableau, that should be used to: Maximize P = 5x1  + 2x2 subject to  x1+ 7x2 = 0…

A:

Q: Maximize P=2x1−3x2+4x3, Subject to: 4x1−3x2+x3 ≤3 x1+x2+x3 ≤10 x1,x2,x3 ≥0

A: The given problem is linear programming problem (LPP). To solve the problem we will use the simplex…

Q: Suppose x represents the number of tons produced daily of interior paints and y represents the…

A: Solution:

Q: Maximize z = 14x, + 3x, +3x2 subject to: 7x, +3x, s8 2

A:

Q: Find the maximum value of f(x1, x2, x3) = 6x₁ + 7x₂ + 2x3 subject to the following constraints. S x₁…

A: subjected to constrain

Q: maximize 2x₁ + ₂-3 subject to 4r₁ + x₂ + 3x3 ≤ 1, -21₂ +13 ≤ 11, 4x2+2x3 = -7, ₁ unrestricted, X₂ ≤…

A:

Q: Find any local extrema (maxima, minima, or saddle points) of f(x, y) given that fx = 8x - 10y and fy…

A:

Q: Find the maximum value of the function f=4x+2yf=4x+2y subject to the constraints x+3y≤8x+3y≤8…

A: For convenience, we take x = x1, y = x2. We use graphical method for solving the given problem.

Q: Maximize 3x1+2x2+4x3 subject to  x1+x2+2x3 = 0

A: The given LPP is  Maximize Z = 3x1+2x2+4x3subject to x1+x2+2x3≤42x1+3x3≤52x1+x2+3x3≤7x1,x2,x3≥0 Add…