Soles analysis. Monthly sales of an SUV model are expected to increase at the rate of S ′ ( t ) = − 24 t 1 / 3 SUVs per month, where t is time in months and S ( t ) is the number of SUVs sold each month. The company plans to stop manufacturing this model when monthly sales reach 300 SUVs. If monthly sales now ( t = 0) are 1,200 SUVs, find S ( t ). How long will the company continue to manufacture this model?
Soles analysis. Monthly sales of an SUV model are expected to increase at the rate of S ′ ( t ) = − 24 t 1 / 3 SUVs per month, where t is time in months and S ( t ) is the number of SUVs sold each month. The company plans to stop manufacturing this model when monthly sales reach 300 SUVs. If monthly sales now ( t = 0) are 1,200 SUVs, find S ( t ). How long will the company continue to manufacture this model?
Solution Summary: The author explains how the function S(t) can be used to find the time taken by the company to manufacture the model.
Soles analysis. Monthly sales of an SUV model are expected to increase at the rate of
S
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(
t
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=
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24
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SUVs per month, where t is time in months and S(t) is the number of SUVs sold each month. The company plans to stop manufacturing this model when monthly sales reach 300 SUVs. If monthly sales now (t = 0) are 1,200 SUVs, find S(t). How long will the company continue to manufacture this model?
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