Posted by **Anonymous** on Thursday, April 28, 2011 at 2:28pm.

Im having trouble getting the correct answer to this question. Could someone help out.

Monthly sales of a particular personal computer are expected to decline at the following rate of S'(t) computers per month, where t is time in months and S(t) is the number of computers sold each month.

S'(t)= -15t^2/3

The company plans to stop manufacturing this computer when monthly sales reach 600 computers. If monthly sales now (t=0) are 1140 computers,find S(t). How long will the company continue to manufacture this computer.

- Math -
**Henry**, Friday, April 29, 2011 at 8:17pm
1140 - 15t^(2/3) = 600,

-15t^(2/3) = 600 - 1140 = - 540,

Divide both sides by -15:

t^(2/3) = 36,

Take log of both sides:

2/3logt = log36,

Multiply both sides by 3/2:

logt = 3/2log36,

logt = 2.3345,

t = 10^(2.3345) = 216 months.

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