Suppose the city of Yonkers is offered two alternative

Chapter , Problem 4.2.38

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Suppose the city of Yonkers is offered two alternative fines by the judge. (See Example 6 on page 144.) Penalty A: $1 million on August 2 and the fine increases by $10 million each day thereafter. Penalty B: 1c/ on August 2 and the fine doubles each day thereafter. (a) If the city of Yonkers plans to defy the court order until the end of the month (August 31), compare the fines incurred under Penalty A and Penalty B. (b) If represents the number of days after August 2, express the fine incurred as a function of under (i) Penalty A (ii) Penalty B (c) Assuming your formulas in part (b) hold for 0, is there a time such that the fines incurred under both penalties are equal? If so, estimate that time.