Minimize: z = 4x + 8y subject to: х + 1.5у 2 45 2х + 0.5у > 40 х +у < 40 х, у 2 0

Q: Solve graphically the dual of the LLP Minimise: z=4w, +6w, +5w,-wĄ Sub. to w; +w, 23 W;,W,W,Wq 20

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Q: A consumer can spend £1280 on two goods x and y, costing £12 and £16 per unit respectively. His…

A: This is a problem of optimization.

Q: Find the null space associated with the equations: 2x+z+w = 0 7x-6y-z-w-v= 0 -5x+4y+w = 0 (Needless…

A: NOTE: Refresh your page if you can't see any equations. . system Ax=0 is the matrix A is

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Q: Use the Method of Lagrange Multipliers to find the largest product that the positive numbers x, y,…

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Q: Find the equation of the family of orthogonal trajectories of the system of parabolas y^2 = 2x + C

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Q: solve using simplex method minimize C =6x+16y subject to: x+y=400 x≤150 y≥200

A: Given,   Min C = 6x+16y        x+y=400        x≤150        y≥200        x, y≥0 The problem is…

Q: Minimize f(x,y,z) = x² + y+z subject to the constraint that x+y+z-9 = 0 + z* subject to the…

A: by using lagrange multipliers  methood

Q: Maximize the function ƒ(x, y, z) = x2 + 2y - z2 subject to the constraints 2x - y = 0 and y + z = 0.

A: Given:  The function is  f(x,y,z)=x2+2y-z2And subject to the constraints  2x-y=0 and y+z=0

Q: Minimize : 4yi+3y2+y3 3y1 +y2 + 2y3 > 30 4y1 +3y2 < 25 2yı +3y2+y3 2 45

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Q: Find the values of x, y, z that minimize 3x² + 2y² + z² + 4x + y + 3z, subject to the constraint 4 -…

A: Let fx,y,z=3x2+2y2+z2+4x+y+3z   and    gx,y,z=4−x−y−z≡0Apply Lagrange Multiplier method to find…

Q: Find two nonnegative numbers x and y for which 2x + y = 30, such that xy2 is maximized.

A: Given that, 2x + y= 30 y = 30 - 2x ................... (1) The function is: f(x, y) = xy2  f(x) = x…

Q: Minimize Q=6x^2+2y^2​, where x+y=8

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Q: Minimize: f(x, y) = x² – y2 Constraint: х — 8y + 126 %3D |

A: Use La Grange method

Q: Maximize 5x+5y subject to  2x+y≤30 x+2y≤24 x,y≥0

A: Let us take P = 5x + 5y, now we can form the tables for the constraint inequalities and then solve…

Q: Use Simplex method to maximize Z = x + 2y Subject to 2x + y <8 2x + 3y < 12 I, y 2 0

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Q: Use the method of Lagrange multipliers to minimize f (x, y) = Vx2 + 3y2 subject to the constraint x…

A: Solve the following

Q: g(x) = 4x3 12x + 6 with domain [-2, 2] g has --Select- at (x, y) = g has --Select--- at (x, y) = g…

A: g(x) = 4x3 -12x +6

Q: Find the maximum of f (x, y, z) = xyz subject to the constraintg(x, y, z) = 2x + y + 4z = 1.

A: Let us assume  fx,y,z=xyz and gx,y,z≡2x+y+4z−1=0Using lagrange multiplier…

Q: Use the duality method to solve each linear programmin 1. Minimize Z = 29x,+ 10x2 subject to: 3x,+…

A: Given that  Minimum z=29x1+10x2subject to 3x1+2x2≥2                   5x1+x2≥3…

Q: Find maximum and minumum values of f(x, y, z) = 7x - 14y + 35z subject to the constraint x² + y? +…

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Q: Minimize g=10x+9y Subject to 4x+y≥19   2x+y≥13 x+4y≥24 x≥0 y≥0 What is the minimum value and at…

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Q: Minimize c = 5x + y + 5z subject to x + y + z ≥ 80 2x + y ≥ 50 y + z ≥ 50 x ≥ 0, y ≥ 0,…

A: To solve the given linear programming problem: Minimize c = 5x + y + 5z subject to x + y + z ≥ 80…

Q: Maximize x2y subject to the constraint that 1 > x+y.

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Q: Maximize f (x, y) = x + y subject to g (x, y) = x² + y = 4

A: Given function fx,y=x+y......(1) gx,y=x2+y2=4......(2) Applying the Lagrange multiplier, note that…

Q: Solve x(y- z)p+ y(z – x)q – z(x – y) =0 by method of multipliers.

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Q: I want to solve this questionQ) Use Lagrange multiplier to find the largest product of three…

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Q: Solve min x1-x2-2x3 problem by means of Lagrange multipliers under the constraints of x1+x2+x3=5 and…

A: To determine maxima and minima of the function with respect to some constraints then follow as Find…

Q: Obtain the general solution using separation of variables

A: Given: dx=t1+t2sec2xdt To Find: General solution using sepration of variables Concept: (a).…

Q: . Find the minimum value of C = 3x + 5y subject to %3D 4x +3y > 240 4x + y > 120 y > 0

A: 4x+3y≥240 divide both sides by 240 4x240+3y240≥240240 x60+y80≥1 compare this equation with the…

Q: Minimize f(x, y) = x2 +y? subject to yx? = 8. Specify both the optimal solution

A: Given information: The objective function is f(x, y) = x2 + (y2/2). The subject to the constraint is…

Q: Find the minimum value of f(x,y)=48x²+30y2 subject to the constraint x2+y2=361 %3D

A: Given that fx,y=48x2+30y2 Let, gx,y=x2+y2 Then, fx=96xfy=60ygx=2xgy=2y

Q: Use the simplex method. Minimize g = 10x + 9y + 12z subject to x + y + z 2 6 y + 2z 2 2 x 2 5. (х,…

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Q: Please solve and explain q#4.

A: Let x be the height , y and z be the dimensions of base of rectangular box, then volume is…

Q: Maxcimize and Minimize Z= 2x+9y subject to: 9x +4y 2 36 9x-6y 2 0 y 56 xy20

A: Given ,  Linear programming problem Maximize and Minimize Z = 2x + 9y  Subject to :  9x + 4y ≥ 36 9x…

Q: Minimize p = 4.x – 2y subject to 3x + 2y > 30, |-x + y 0, y > 0.

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Q: Calculate the minimum value of f (x,y,z) = 2x2 + y2 + 3z2 subject to the constraint 2x - 3y - 4z =…

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Q: A satellite television reception station is to be located at point P so that the sum of the squares…

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Q: A company manufactures two types of athletic shoes: jogging shoes and cross-trainers. The total…

A: Rx(x,y)= -10x-2y+42 Ry(x,y) = -16y-2x+102

Q: Minimize z = x, + 2x2 Subject to 2x, + 4x, s 160 X1 – Xz = 30 X12 10 X1, X2 2 0

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Q: Minimize Z=8x+12y subject to 4x+6y214, 4x+5y9, x>0, y20 M=?

A: Given LPP is Minimize  Z = 8x + 12y Subject to  4x + 6y ≥ 14, 4x + 5y ≥ 9, x ≥ 0, y ≥ 0

Q: Minimize c = 2x + 2y + 3z subject to + z2 180 2 90 y + z2 90 x 2 0, y 2 0, z20. 2x + y (x, y, z) =

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Q: The amount of space required by a particular firm is f(x, y) = 1000(6x2 + y2)^1/2, where x and y…

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Q: Find solution using graphical method and then solve it by using LINGO Maximize Z = 15x1 + 10x2…

A: Given LPP problem is  Maximize Z=15x1+10x2 Subject to  4x1+6x2≤3603x1≤1805x2≤200x1,x2≥0 To solve the…

Q: Maximize z = 5x + 6y %3D subject to: 3x + 2y s 12 x +2 y < 8 y 2 0

A: See attached file for a step by step explanation.

Q: Minimize : 20yı + 12y2 + 40y3 Yi +y2+5y3 2 20 2yı +y2 +y3 2 30 4.

A: The LPP is  MIN Z = 20y1 + 12y2 + 40y3subject toy1 + y2 + 45y3 &gt;= 202y1 + y2 + y3 &gt;= 30and…

Q: Create a 2nd order, homogeneous, linear IVP, that is not guaranteed to have a unique solution at…

A: Let's a take a 2nd order, homogeneous, linear IVP. For second order differential has a unique…