Question

Monthly sales, in thousands, of a new laptop computer grow according to the model
N(t)=4.7te^-0.3t
where t is the number after introduction. Determine the point of diminishing returns and interpret your answer.
well, what does diminishing returns mean? Sales decrease while numbers increase.

So, you want to find t for max N.
the point at which the growth of a function begins to slow down
good call. So, rather than being where f' goes negative, it is where f' starts decreasing: where f" goes negative. That is, when the graph changes from concave up to concave down.

Unfortunately, this graph starts out concave down, so the growth rate is always decreasing, and then it starts increasing at t = 20/3

http://www.wolframalpha.com/input/?i=4.7te%5E(-0.3t)+,+0%3Ct%3C20
ty!

Related Questions

Dee's store monthly sales for April, May, June are three independent random variables with means and... Sales= S(thousands) t=yrs S=100(1-e^(kt)) k=0.035 How many units were initially sold? How... the monthly sales at a computer store have mean of $25,000 and a standard deviation of $4,000. prof... The monthly sales S (in hundreds of units) of baseball equipment for an Internet sporting goods site... a company's monthly sales, in thousands, is given by s(x,y)=9x^.8y^.5. where x is the amount spent o... a sales man has monthly bases salary of 1800 and in addition he receive a sales commission of 20% of... A graph titled Monthly Sales and Advertising Costs has Advertising Costs (1,000 dollars) on the x-ax... A graph titled Monthly Sales and Advertising Costs has Advertising Costs (1,000 dollars) on the x-ax... A graph titled Monthly Sales and Advertising Costs has Advertising Costs (1,000 dollars) on the x-ax... A graph titled Monthly Sales and Advertising Costs has Advertising Costs (1,000 dollars) on the x-ax...