Consider the diet problem of Example 12.3. Let = 0.99, ul = 2, uh = 1,

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Consider the diet problem of Example 12.3. Let δ = 0.99, ul = 2, uh = 1, yi = 1/180 for all i, and w = 140. Suppose that initial weight in the first period is 200. How high does β need to be before the person will actually go on a diet rather than just planning to in the future? Use geometric series to solve this analytically.
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