Use Excel or some other technology. (Assume all variables are nonnegative Minimize g= 40y1 + 90y2 + 30y3 subject to the following. yl 2y2 y3 12 y1 Sy2 2y3 15 2y1 5y2 Зуз 34

Q: An open rectangular box having a volume of 108 in. is to be constructed from a tin sheet. Find the…

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Q: Obtain the dual of the LPP below. Minimize z = 4A+ B Subject to 3A+2B > 12 2A – 6B 0

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Q: Is the point a = [0, 1]T a local minimizer? %3D

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Solve using simplex. Minimize: w = y1 + y2 + 4y3 Subject to: Y1 + 2y2 + 3y3 > 115 2y1 + y2 + 8y3 200…

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Q: A manufacturer has determined that the total cost C of operating a factory is C = 0.5x2 + 15x + 5000…

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Q: The production function for a firm is p(x, y) = 96x"y"", where x and y are the number of units of…

A: P(x,y)=96x34.y14 Labor cost =$144 Capital cost =$1875 cost =144x+1875y

Q: Find two nonnegative numbers x and y such that xy 56 and 7x + 2y is minimized. y =

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Q: Find the dual of the following LP problem (do not Solve): Minimize W = 5y, + 7y2 + 6y3 + 4y4 s.t. Yı…

A: Given: Minimize W=5y1+7y2+6y3+4y4 Subject to the constraints y1+2y2      +y4≥4y1+y2+2y3      =-1…

Q: Use the two-stage method to solve the problem below. Minimize w=56y₁ +72y2 +61y3 subject to 8y₁ +9y2…

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Q: Use the technique developed in this section to solve the minimization problem. Minimize C = -2x + y…

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Q: Use technology to minimize the following: Minimize g = 12yı + 5y2 + 8y3 subject to 2y1 + y2 + 4y3 >…

A: Here we minimize g.  And we use here simplex method.

Q: Use Lagrange multipliers to solve                                                           Minimize…

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Q: Given the LP Model Minimize: z = x- y subject to: 4х — Зу s0 x + y < 10 х, у 2 0

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Q: 4. Use Lagrange multipliers to find the maximum and minimum values of the function subject to the…

A: To find the maximum and minimum values of the function f(x,y,z)=xyz subjected to the constraint…

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: Apply the method of Lagrange multipliers to the function ƒ(x, y) = (x² + 1) y subject to the…

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Q: 6. Minimize Z = 20x + 30y %3D asiminiM subject to 2x +y 56 x, y 2 0 7. Minimize

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Q: Minimize and Marhnize ニ= 30y + 20y スx+ yZ 3ue * +y Z 28 メ+2y2 32 Suljeat to

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Q: State the dual problem for the following, but do not solve it. Maximize z = Minimize w = y, + 3y, +…

A: The dual problem and primal problem are problems which describe the same condition but with…

Q: Use Lagrange multipliers to find the given extremum. Assume that x and y are positive. Minimize f(x,…

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Q: 3. Let a be the number of pills of Palium taken daily and b be the number of pills of Timade taken…

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Q: Use the technique developed in this section to solve the minimization problem. Minimize C = 10x + y…

A: Given LPP is Minimize  C = 10x + y subject to   4x + y ≥ 24x + 2y ≥ 20       x ≥ 2x ≥ 0, y ≥ 0

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: 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

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Q: Apply the method of Lagrange multipliers to the function f(x, y) = (x² + 1) y subject to the…

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Q: Use lagrange multipliers to find extreme values of f(x,y,z)=x^4+y^4+z^4 subject to the constraint…

A: By using Lagrange's multipliers we have to find the extreme values of f(x,y,z)=x4+y4+z4 subject to…

Q: 2. Use Lagrange multipliers to maximize f(, y) = x + 3ry + 4y subject to the constraint 2x + y = 1.

A: We use Lagrange multipliers method

Q: Use technology to minimize the following: Minimize g = 8yı + 7y2 + 5y3 subject to Yı + 2y2 + 5Y3 > 3…

A: Given LPP is Minimize g=8y1+7y2+5y3 Subject to y1+2y2+5y3≥33y2+2y3≥62y1≥4y1,y2,y3≥0 Since the…

Q: Rewrite the objective fur Minimize w = 2y1 + 4y2 subject to: y, + y2 2 11 2у1 + Зу2 + Уз222

A: Given,

Q: Use Lagrange multipliers to find the given extremum. Assume that x and y are positive. Minimize f…

A: Here, the function to be minimized is f(x,y)=exy subjected to the constraint x2+y2-8=0. If we assume…

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: Use Lagrange multipliers to find the indicated extrema, assuming that x, and y are positive.…

A: Solution is in step 2

Q: Obtain the necessary conditions for the optimum solution of the following Minimize f(x,, x2) = 3…

A: We will use Lagranges multiplier method to find condition for minimization  To minimize f(x,y)…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Solve the LP problem. If no optim Minimize c = x + y subject to x+3y2 8 3x + y2 8 x2 0, y 2 0. 3つ =…

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Q: minimize subject to (xyz)-¹ x + 2y + 2z ≤ 72 x, y, z 20

A: Since you have posted multiple questions, we will solve only the first question for you.

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: Use the simplex method to minimize  w=3y1+2y2 subject to:  2y1+3y2&gt;=60 y1+4y2&gt;=40 with…

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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: Find the maximizer of f(x, y) = x² + y² subject to 2x + y ≤2, z ≥ 0 and y ≥ 0.

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

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Q: A boat is located 3 km in the ocean from a point, says P on a straight shoreline. That point is 5 km…

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Q: What value of x minimizes C = 0.005x2 provided that C must be positive and x is within (0,1)

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Q: Use technology to minimize the following: Minimize g 11yı + 9y2 + 10y3 subject to 3yı + 5y2 + 2y3 >…

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Q: What necessary conditions are replaced by "minimize"? obeyed by a solution to (1) if "maximize" were

A: To write the  necessary condition for min ∫t0t1F(t,x(t),x'(t))dt with x(t0)=x0

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

A: Given;  Minimize :(x, y) =x2+y2 Constraint: x+2y-20=0.

Q: The production function for a firm is p(x, y) = 96x"y"", where x and y are the number of units of…

A: We will use Lagranges multiplier method to find optimal solution  To maximize/ minimize f(x,y,z)…

Q: 32. Minimize and maximize MAM P = -x + 3y subject to 2r - y24 -x+ 2y < 4 yS6 x, y 20

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.