Stuart's utility function for goods X and Y is represented as U(X,Y)=X0.8Y0.2. Assume that his income is $100 and the prices of goods X and Y are $20 and $10, respectively. Now a government subsidy program lowers the price of X from $20 per unit to $10 per unit.   (a) Calculate and graphically show the change in good X consumption resulting from the program.   (b) Graphically show the change in consumption attributable to the separate income and substitution effects.   (c) Show (graphically) how much the program cost the government.

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