Friday

December 19, 2014

December 19, 2014

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

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 8:17pm1140 - 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.

**Answer this Question**

**Related Questions**

Principles of Finance HELP!!! - Problem 16-7. Pro forma income statement At the ...

Math - I'm having trouble with a math problem: I solved it but I have to make ...

algebra - a salesperson who must decide between two monthly income options: ...

chemistry, chemical kinetics - I keep getting these questions wrong, could ...

Algebra - I am having trouble with the following question; y+7=8x 2x-y=-7 ...

computer - im having trouble getting these answer to these brain teasers.. 1....

Intro Chemistry - I am reviewing my test and I having trouble figuring out the ...

Computer Question - Does anyone know where I can remove the memory card? from a ...

Algebra - I am trying to work through this problem and am having trouble. Can ...

Algebra - I am trying to work through this problem and am having trouble. Can ...