Michael just started a new job as an assembly line worker. The job requires him to assemble 300 units per day. Let y(t) stand for the number of items he has assembled by time t (in hours). Each morning, Michael begins quickly, trying to get through as many units as he can. But as he tires, his rate of assembly slows. The rate at which Michael can assemble items is roughly proportional to the number of items remaining to be assembled that day with proportionality constant k 0.15. That is, y' = 0.15(300 – y). Recall that the solution to the initial value problem y = k(M – y), y(0) = yo is given by y(t) M+(yo - M)e-kt. Use this to answer the questions below.
Michael just started a new job as an assembly line worker. The job requires him to assemble 300 units per day. Let y(t) stand for the number of items he has assembled by time t (in hours). Each morning, Michael begins quickly, trying to get through as many units as he can. But as he tires, his rate of assembly slows. The rate at which Michael can assemble items is roughly proportional to the number of items remaining to be assembled that day with proportionality constant k 0.15. That is, y' = 0.15(300 – y). Recall that the solution to the initial value problem y = k(M – y), y(0) = yo is given by y(t) M+(yo - M)e-kt. Use this to answer the questions below.
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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these are not seperate, they are multipart
How long will it take for Michael to make 100 units?
At what rate does Michael initially assemble units?
After assembling 50 units, how fast is Michael assembling units?
When is Michael’s rate of assembly equal to 30 units per hour?
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