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4. Consider a consumer whose income, Y, and consumption, 0, both measured in dollars, depend on her age, A: 2A2 + 240A 200 + 160A Y C All of the variables are annual. (a) Compute the formulas for dY/dA and dC/dA for this consumer. (b) Fill in the following table: -- dY/dA do/dA - (0) Make up an appropriate name for dY/dA. (d) Interpret your answer to (vi). Be specic. (e) Provide an argument that the signs of (ii) and (vi), taken together, could make sense in the real world. (f) Provide an argument that the answers to (v) and (vii), taken together, could make sense in the real world. (g) Provide an argument that the answers to (iv) and (viii), taken together, could make sense in the real world