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Consider two goods that are perfect complements such that the consumer always wants two units of good X with every three units of good Y. The consumer’s income is $180, the price of good X is$8, and the price of good Y is \$8.

A) Calculate the optimal quantity of good x for this consumer.

B) Calculate the optimal quantity of good Y for this consumer.

C) Sketch the consumer's budget line and indifference curve that passes through the optimal consumption bundle.

D) Write down a utility function that would accurately represent the preferences described in this question.