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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.

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S?t) = -10.t^(2/5).

(a) Integrating, we get, S(t) = -10.[t^(2/5 + 1)]/(2/5 + 1) = ...

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