Suppose the sales of a particular model of vending machines can be modeled by the function: f(t) = 200 * (0.17/14) + 70^(-0.17t) where t is the time in weeks after the release of the model to consumers and f(t) is the number of machines in thousands. a) How many machines will be sold after 2 weeks? Enter your answer in thousands. b) Approximately how many machines will ultimately be sold? Enter your answer in thousands of machines.
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17/14) + 70^(-0.17t) when t = 2. Show more…
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Problem #3: Suppose the sales of a particular model of espresso machines can be modelled by the function f(t) = 200 * (0.34 / (15 + 135e^(-0.34t))) where t is the time in weeks after the release of the model to consumers and f(t) is thousands of machines. (a) How many machines will be sold after 2 weeks? Enter your answer in thousands of machines. (b) Approximately how many espresso machines will ultimately be sold? Enter your answer in thousands of machines.
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Monthly sales of a particular personal computer are expected to increase at the rate of $$S^{\prime}(t)=-4 t e^{0.1 t}$$ computers per month, where $t$ is time in months and $S(t)$ is the number of computers sold each month. The company plans to stop manufacturing this computer when monthly sales reach 800 computers. If monthly sales now $(t=0)$ are 2,000 computers, find $S(t) .$ How long, to the nearest month, will the company continue to manufacture the computer?
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