U = x^2y^4 with prices and Income . constraint 1 pxX+pyY=m - Use the Lagrangian method...

U = x^2y^4 with prices and Income . constraint 1 pxX+pyY=m

- Use the Lagrangian method to find demand function and the Lagrange Multiplier. Interpret the Lagrange multiplier. additionally, if an additional constraint is added that x ≥ 20. Use the Lagrangian method to find the demand function ( Marshallian demand) and the Lagrange Multiplier(s). Show details. Interpret the multiplier(s). Draw a diagram to illustrate.

Expert Solution

Lagrangian method gives the optimal values of demand of good x and good y. The utility function given in the question is the monotonic transformation of Cobb Douglas utility function (xy = U(x,y)). Therefore indifference curve is convex to the origin as utility function is a concave function.

Rahul Sunny answered 2 years ago

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