A new product has just come onto the market and is a big hit. The success, however, does not last too long. Within a year, sales/day have dropped drastically. a) Given that the number of sales/day, measured in tens of thousands, of the 72 product is represented by the function (t) = -50 (e4-e) after t years, what is the day that the most products are sold? b) How many products were sold on the day?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 8E
Question
A new product has just come onto the market and is a big hit. The success,
however, does not last too long. Within a year, sales/day have dropped
drastically.
a) Given that the number of sales/day, measured in tens of thousands, of the
product is represented by the function n (t) = -50 (e 4 - est) after t years,
what is the day that the most products are sold?
b) How many products were sold on the day?
Transcribed Image Text:A new product has just come onto the market and is a big hit. The success, however, does not last too long. Within a year, sales/day have dropped drastically. a) Given that the number of sales/day, measured in tens of thousands, of the product is represented by the function n (t) = -50 (e 4 - est) after t years, what is the day that the most products are sold? b) How many products were sold on the day?
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