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A consumer has set a budget of $400 for the consumption of good X and Y. The price of Good X is $10, and the

A consumer has set a budget of $400 for the consumption of good X and Y.

The price of Good X is $10, and the price of good Y is $20. The consumer has a Utility function given by U(X,Y) = xy

.

a) Find the optimal solution using a method that does not involves equations and illustrate the solution.

b) Calculate an equation that represents the demand for good X and illustrate in a graph.

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