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Pat eats eggs and toast for breakfast and insists on having three pieces of toast for every two eggs he eats. Derive his utility function.

Pat eats eggs and toast for breakfast and insists on having three pieces of toast for every two eggs he eats. Derive his utility function. If the price of eggs increases but we compensate Pat to make him just as "happy" as he was before the price change, what happens to his consumption of eggs? Draw a graph and explain your diagram. Does the change in his consumption reflect a substitution or an income effect?

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