Sales analysis. Monthly sales of a particular personal computer are expected to decline at the rate...

Question

Sales analysis. Monthly sales of a particular personal computer are expected to decline at the rate of

computers per month, where t is time in months and S(t) is the number of computers sold each month. The company plans to stop manufacturing this computer when monthly sales reach 800 computers. If monthly sales now (t = 0) are 2,000 computers, find S(t). How long, to the nearest month, will the company continue to manufacture the computer?

Robert · Accepted Answer

Given , 
  ( )                
When monthly sales reach 800, company plans to stop 
When (t=0) are 2000 
  ( )    , 
2000           =800 
           = 2000-800=1200 
          = 300 
Taking inverse, 
      (     )   = In (300) 
          =5.70378247466 
-0.1t2 =5.70378247466 
t2 =57.

Sales analysis. Monthly sales of a particular personal computer are expected to decline at the rate of computers per month, where t is time in months and S(t) is the number of computers sold each...

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