The solution to the problem. =b, max f(x, X2. Xg)=x, + Xg subject to for b, =1 and by =2 is (k,X)=2, -2. 2.047 (Put /2 1.4.) In 2), with associated Lagrange multipliers 2, - 1214 and ,- 1/2. What is the approximate change Af in the optimal value of fif b, is increased to 1.04 and b, is increased to O A. 0.08 OB. 1.2 OC. 0.85 OD. 0.034

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Q: Q5) Use 4th-order Runge Kutta method hf(tn, Vn), 1 hf (tn + h, Yn +5k kz kg = hf (tn +h, yn + k4 =…

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Q: 2. Use the method of Lagrange multipliers to show that for x, y ≥ 0, we have z"+"> (²+)" 2

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Q: b. Solve min x, -x, – 2x, problem by means of Lagrange multipliers under the constraints of x, +x,…

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Q: 2nd Case (IBVP Summary) (Ut = 1.5uxx, 0 0 Ux(0, t) = 0, ux(6 ft, t) = 0, t > 0 (u(x,0) = 80°F, 0<…

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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: 2.1. Use the steepest-descent method to solve minimize f(x1, x2) = 4x + 2x + 4x1x2 – 3x1, %3D…

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Q: If we use the Lagrange multipliers method, for the function f(a, y)--+2 subject to the constraint z…

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Q: 2. Consider the following (knapsack) LP: = 150r1 + 100x2 + 99x3 51x + 50r2 + 50r3 S max z 100 T1,…

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Q: 2. Consider the following boundary-value problem: y" = 2x"y + ry +2, 1<r <4. Taking h = 1, set up…

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Q: simplex method

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Q: 3. As follows: 6 Consider the following LP and its optimal tableau (Table 55): max z 3x1 + x2 X3…

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Q: 3. Use the method of Lagrange multipliers to find the minimum value of f(1, y) = x* – 2r’y – 4z³ +…

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Q: 8 Graphically find all optimal solutions to the follow- ing LP: min z = x1 – x2 s.t. X1 + x2 < 6 X1…

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Q: 4. Regarding the labor-leisure trade off. Assume Sue Ellen Walton has the utility function U(C,L) =…

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