(a) Suppose that v increases with u decreasing by an equal amount. Determine the effects on the level and the rate of growth of consumption. Draw a diagram showing the initial path followed by the natural logarithm of consumption and the corresponding path after v increases.
(b) Suppose that v increases with u held constant. Determine the effects on the level and the rate of growth of consumption. Draw a diagram showing the initial path followed by the natural logarithm of consumption and the corresponding path after v increases.
(c) Explain your results and any differences between parts (a) and (b).
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