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12. Draw the consumer's optimization (show indifference map and the budget constraint and optimal consumption bundle) for the two goods case for the following situations.

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12. Draw the consumer's optimization (show indifference map and the budget constraint and optimal consumption bundle) for the two goods case for the following situations. (15 Points) i. Two goods are not perfect substitutes. This is the case of the interior solution. In this case the utility function is represented by the Cobb-Douglas Utility Function. ii. Two goods are perfect substitutes. ill. Two goods are perfect complements. Hint: The shapes of the indifference curves are different in each of these three cases

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