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3. The number of sales per day S(t), measured in thousands, of a new toy is found to be 400 t+25 10000 (t+25)²¹ S(t) where t is the time in days that the toy has been on the market. (a) How many toys were being sold per day at day 15? (Be careful to check the units given in the question.) (b) What is the rate of change of sales per day at day 15? (c) Use the second derivative to find how this rate (in part (b)) is changing at day 15 and interpret your finding.

3. The number of sales per day S(t), measured in thousands, of a new toy is found to be 400 t+25 10000 (t+25)²¹ S(t) where t is the time in days that the toy has been on the market. (a) How many toys were being sold per day at day 15? (Be careful to check the units given in the question.) (b) What is the rate of change of sales per day at day 15? (c) Use the second derivative to find how this rate (in part (b)) is changing at day 15 and interpret your finding.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. The number of sales per day S(t), measured in thousands, of a new toy is found to be 400 10000 t + 25 (t+25)²¹ where t is the time in days that the toy has been on the market. (a) How many toys were being sold per day at day 15? (Be careful to check the units given in the question.) (b) What is the rate of change of sales per day at day 15? S(t): (c) Use the second derivative to find how this rate (in part (b)) is changing at day 15 and interpret your finding.
Transcribed Image Text:3. The number of sales per day S(t), measured in thousands, of a new toy is found to be 400 10000 t + 25 (t+25)²¹ where t is the time in days that the toy has been on the market. (a) How many toys were being sold per day at day 15? (Be careful to check the units given in the question.) (b) What is the rate of change of sales per day at day 15? S(t): (c) Use the second derivative to find how this rate (in part (b)) is changing at day 15 and interpret your finding.
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