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Tom's utility is given by U(X,Y) = 6X 1/4 Y 3/4 . Tom has an income of 320 to spend on good X and good

Tom's utility is given by U(X,Y) = 6X^1/4Y^3/4 . Tom has an income of 320 to spend on good X and good Y. Knowing that p_x= 4 and p_y= 8:

a) Find the optimal combination of X and Y so that Tom maximizes his utility subject to the budget constraint. Show this graphically

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