The management at a certain factory has found that the maximum number of units a workercan produce in a day is 75. The rate of increase in the number of units N produced withrespect to time t in days by a new employee is proportional to 75 − N. Determine the differential equation describing the rate of change of performance withrespect to time.Solve the differential equation from part (i).Find the particular solution for a new employee who produced 20 units on the first dayat the factory and 35 units on the twentieth day.

Given that: Rate of increase with respect to time t in days by a employee is proportional to 75-N.20…

he management at a certain factory has found that the maximum number of units a worker can produce in a day is 75. The rate of increase in the number of units N produced with respect to time t in days by a new employee is proportional to 75 − N

he management at a certain factory has found that the maximum number of units a worker can produce in a day is 75. The rate of increase in the number of units N produced with respect to time t in days by a new employee is proportional to 75 − N

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

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Question

The management at a certain factory has found that the maximum number of units a worker can produce in a day is 75. The rate of increase in the number of units N produced with respect to time t in days by a new employee is proportional to 75 − N.