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2. The income from a new chain of bubble tea breweries called Dubble Bubble is projected to be a continuous income stream with a rate of income function f(t)330,000 15,000t dollars per year, where time t is measured in years, with t being now. Assume money can earn interest of 4% p.a. compounded continuously. Hint: for the integrals below there is a factor of 1000 you should take out the front. (a) What is the total income from the bubble tea chain over the next 3 years? (b) What is the average value of the income function over the next 3 years? (c) What is the present value of the income stream over the next 3 years? (d) What is the future value of the income stream over the next 3 years? (e) What is the present value over the next 3 years if the average value calculated in part (b is used for the rate function? (f) Briefly explain why this is less than the present value calculated in part
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