solve these below mentioned 4 questions based on constrained optimisation using Lagrange method: 2. (a) (a) (b)

solve these below mentioned 4 questions based on constrained optimisation using Lagrange method:

 

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2. (a) (a) (b) (c) (d) - max y = 2x + 4x x 0.5x - 2x1x2 subject to 2x + x = 10 max y = xx subject to x + x3 x = 16 max y = x + x3 subject to (x/25) + (x/9) = 1 min y = 2x + x2 subject to (0.2x0.5 +0.8x20.5)- = 1 2. (a) (a) (b) (c) (d) - max y = 2x + 4x x 0.5x - 2x1x2 subject to 2x + x = 10 max y = xx subject to x + x3 x = 16 max y = x + x3 subject to (x/25) + (x/9) = 1 min y = 2x + x2 subject to (0.2x0.5 +0.8x20.5)- = 1

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a To solve the given problem using the Lagrange method we need to set up the Lagrangian function which combines the objective function and the constraint equation Lets define our Lagrangian function a... View the full answer