Question 1126129
the formula is N = 100,000 / (1 + 10 * e ^ (2 * T).


T is the number of weeks after the BMW is released.


there is something wrong with your equation.


as written, i get the following graph.


<img src = "http://theo.x10hosting.com/2018/101407.jpg" alt="$$$" >


when i make 2 * T becomes -2 * T, i get the following graph.


<img src = "http://theo.x10hosting.com/2018/101408.jpg" alt="$$$">


the second graph is what i would expect to see.


the growth goes up rapidly and then saturates at a maximum level.


i'd go with y = 100,000 / (1 + 10 * e ^ (-2 * T)).


using that formula, you get:


9091 vehicles purchased 3 weeks after launch.


97,581 vehicles purchased 35 weeks after launch.


the sale of vehicles saturates at 100,000 vehicles.


apparently, based on the formula, they expect lots of sales pretty soon after launch but don't expect the total number to get beyond 100,000.


check your formula.


i think you'll find that the exponent is negative (e^-2T rather than e^2T).


note that 1 + 10 * e^-2T is the same as 1 + 10/e^2T.


as T gets larger, 10 / e^2T becomes smaller until it gets very close to 0, at which time 1 + 10/e^2T becomes very close to 1 and 100,000 / (1 + 10/ e^2T) gets very close to 100,000 / 1 = 100,000.