Mathematics - Integration applied to Commerce
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The monthly sales at an import store are currently $10,000 but are expected to be declining at the rate of S'(t) = -10t^2/5 dollars per month t months from now.
The store is profitable as long as the sales level is above $8,000 per month.
a) FInd a formula for the expected slaes in t months.
b) What sales figure should be expected 2 years from now?
c) For how many months will the store remain Profitable?
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Solution Summary
This solution contains step-by-step calculations for expected sales, specific sale figures, profitable months and other variables.
Solution Preview
S?t) = -10.t^(2/5).
(a) Integrating, we get, S(t) = -10.[t^(2/5 + 1)]/(2/5 + 1) = ...
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