12. Minimize 3x + 5y + z subject to the constraints x + y+ z2 20 y+ 2z 10 xN0, y>0, zN0.

Q: Also, we must have *20. y20. Therefore, the above problem can be fomulated as follows: find x and y…

A: # we are entitled to solve one question at a time, please resubmit the other question which you wish…

Q: The minimum value of J.y,Z) = 6x - y – óZ subject to the constraints *+y -Z=0 and ? + 2? = 1 is?

A: Given,          The minimum value of fx,y,z=6x-y-6z subject to the constraints x+y-z=0 and x2+2z2=1.

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: Find the maximum value of Z = 2x + 3y subiect to the constraints : x +y < 30, y 2 3, 0sy s 12, x -y…

A:

Q: 4. Minimize 375 2x 3y subject to the constraints x2 0, y 2 0 x< 30, y < 25 x+y< 45 (x+y%15.

A: Given the optimization problem,  To minimize 375-2x-3y subject to the constraints x≥0, y≥0x≤30,…

Q: Minimize c = 7s + 7t + 6u subject to %3D s + u 2 300 3s +t 2 150 s2 0, t 20, u 2 0. Maximize p = 7x…

A: The given linear programming problem is a minimization problem and we have to find the dual of this…

Q: 3. Minimize: Z = 20x + 10y and the constraints are : x + 2y < 40, 3x + y 2 30, 4x + 3y 2 60, x 2 0,…

A:

Q: Find the minimum value of  z = 6x2 + y2 − xy  subject to the constraint  2x + y = 12.

A: Use Lagrange theorem

Q: Minimize the function x^2+y^2+z^2 subject to constraint x+2y+3z=6 and x+3y+9z=9

A:

Q: Also, we must have *2 0. y20. Therefore, the above problem can be formulated as follows: find x and…

A: The given linear programming problem is:              Maximize z=2x+1.25y  subject to the…

Q: 8) Maximize the function f(x, y) = 16-r² - y² subject to the constraint x + y = 6

A:

Q: Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject to…

A: GIVEN Prove that if you minimize the square of the distancefrom the origin to a point (x, y) subject…

Q: 4. Use the simplex method to find a basic feasible solution that maximizes Z = 2x+7y subject to the…

A: It is given x≥0 and y≥0 - 4x + 2y ≤ 8   , taking 2 common outside  2(-2x + y) ≤ 8 - 2x + y ≤ 4…

Q: Find the maximum value of Z = 2x + 3y subiect to the constraints : x +y < 30, y 2 3, 0sy s 12, x - y…

A:

Q: Find the values of​ x, y, and z that maximize xyz subject to the constraint 192−x−8y−16z=0.…

A: Use the lagrangian's multiplier  xyz+λ192-x-8y-16z Partially differentiate with respect to x, y, z…

Q: Minimize c = 6x + 14y Subject to the constraints: 14x + 7y 2 43 3x + 7y 2 21 -x + y 2 -5 x, y 2 0

A:

Q: The production function for a firm is p(x, y) = 256x"y where x and y are the number of units of…

A: Given p(x,y)=68x34y14

Q: Find the minimum value of z = 4x2 + y2 − xy subject to the constraint 4x + y = 8. z =

A: Answer

Q: Use the method of Lagrange multipliers to minimize the function subject to the given constraint.…

A:

Q: Minimize the function ƒ(x, y, z) = x2 + y2 + z2 subject to the constraints x + 2y + 3z = 6 and x +…

A:

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 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: 3,3 Solve by greaphing A. Minimize C=10 x +15y X +y <10 3x +y Zld s,t. +3y x20, y 20 -2x Z3

A:

Q: 5. Maximize Z = 3x + 4y and the constraints are : x- y <-1; -x +y <0 and x, y 2 0.

A:

Q: f (x, y, z) = 2x + 6y + 2z Subject to constraint 2x2 + 4y2 + z? = 70

A:

Q: Find the minimum value of w = x2 + y2 + z2 subject to the constraint x + y + z = 9. w =

A: Answer

Q: What is the minimum value of f(x, y) =x +4y -2x+8y subject to the constraint X+2y=7

A:

Q: 1. Find the maximum value of the function P(x,y) = 3x + 2y subject to the constraints x + 2y 0, and…

A: The function, Px,y=3x+2y subject to constraints x+2y≤4, x-y≤1, x≥0, and y≥0.

Q: 3. Minimize: Z = 20x + 10y and the constraints are: x + 2y s 40, 3x + y 2 30, 4x + 3y 2 60, x 2 0, y…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Maximize  z = 8x + 9y,  subject to the following constraints. −3x  +  y ≤ 3 2x  −  4y ≤ 8 x  ≥  0,…

A:

Q: Calculate the maximum and minimum values of x^2+y^2 subject to the constraint x^2−2x+y^2−4y=0

A:

Q: Find r and h that minimize S subject to the constraint V = 54n.

A: Here V=54π and we should minimize  S=2πrh+2πr2 under the constraint V=54π=πr2h V(r,h)=πr2h-54π

Q: Find maximum and minumum values of f(x, y, z) = 2x – 4y + 10z subject to the constraint x? + y? + z2…

A: Z27272

Q: Find the maximum of the following function: h(x,y) = In(x56 yl4) given the constraints: 4x2 + y? =…

A:

Q: Find the maximum value of Z = 2x + 3y +y< 30, y 2 3, 0<ys 12, x – y 2 0, and 0<x < 20. subiect to…

A:

Q: Find the minimum value of w = 4x, + 2x, + x3 subject to the constraints 2x, + 3x, + 4x, 4 x1 + 4x,…

A: Change the constraint system:  -2x1-3x2-4x3≥-143x1+x2+5x3≥4x1+4x2+3x3≥6where x1, x2, x3≥0 The…

Q: The maximum value M and the minimum value m of f(x,y)=x³-2y² subject to the constraint x3+y3=125 are…

A: Apply the Lagrange's multiplier method, ∂f∂x=λ∂g∂x⇒3x2=λ(3x2)⇒3x2(λ-1)=0⇒x=0 ; λ=1Also,…

Q: Minimize ƒ(x, y, z, w) = x2 + y2 + z2 + w2 subject to the constraints 2x - y + z - w - 1 = 0 and x +…

A: Use the Lagrange Multiplier technique with two constraints, to find the value of x,y,z,w at which…

Q: 4. Minimize: Z 5x + 4y and the constraints are : %3D 4x + y 2 40; 2x + 3y 2 90 and х, у 2 0

A:

Q: Minimize g = 3x + 4y subject to the constraints

A: The given linear programming problem is minimize g=3x+4y subject to the constraints…

Q: Find the values of x and y that minimize 24x2+12xy+4y2+6x−4y+16 subject to the constraint…

A: given fx,y=24x2+12xy+4y2+6x-4y+16 subject to constraint  8x+2y+1=0 let ϕx,y=8x+2y+1 to find  value…

Q: Find the absolute maxımum and minimum of f(r, y) = x² + y subject to the constraint 3x2 + 4y? = 5

A: To find the absolute maximum and minimum values of f(x,y) subject to constraint g(x,y).

Q: Minimize f(x,y,z) = 3x2+4y2+6z2 subject to the constraint 3x+7y+8z=20. a.) When the minimum…

A: Given that , fx,y,z=3x2+4y2+6z2 and gx,y,z=3x+7y+8z-20 According to our guidelines , We can answer…

Q: Use the given feasible region determined by the constraint inequalities to find the maximum possible…

A:

Q: Maximize ƒ(x, y, z) = x2 + y2 + z2 subject to the constraints 2y + 4z - 5 = 0 and 4x2 + 4y2 - z2 =…

A:

Q: Find the values of x, y, and z that maximize xyz subject to the constraint 1344 - x- 16y - 7z = 0.

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.