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The performance level of someone learning a skill P(t) is a function of the training time t dP and given by the differential equation dt k(M – P(t)), where k is a positive constant. Two new workers were hired for an assembly line. Jim processed 26 units during the first hour and 47 units during the second hour. Mark processed 33 units during the first hour and 49 units the second hour.

The performance level of someone learning a skill P(t) is a function of the training time t dP and given by the differential equation dt k(M – P(t)), where k is a positive constant. Two new workers were hired for an assembly line. Jim processed 26 units during the first hour and 47 units during the second hour. Mark processed 33 units during the first hour and 49 units the second hour.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The performance level of someone learning a skill P(t) is a function of the training time t dP dt and given by the differential equation k(M – P(t)), where k is a positive constant. Two new workers were hired for an assembly line. Jim processed 26 units during the first hour and 47 units during the second hour. Mark processed 33 units during the first hour and 49 units the second hour. Estimate the maximum number of units per hour that each worker is capable of processing. Assume that P(0) = 0. 1. 131 for Jim and 62 for Mark 2. 135 for Jim and 64 for Mark 3. 133 for Jim and 58 for Mark 4. 148 for Jim and 80 for Mark 5. 144 for Jim and 60 for Mark C
Transcribed Image Text:The performance level of someone learning a skill P(t) is a function of the training time t dP dt and given by the differential equation k(M – P(t)), where k is a positive constant. Two new workers were hired for an assembly line. Jim processed 26 units during the first hour and 47 units during the second hour. Mark processed 33 units during the first hour and 49 units the second hour. Estimate the maximum number of units per hour that each worker is capable of processing. Assume that P(0) = 0. 1. 131 for Jim and 62 for Mark 2. 135 for Jim and 64 for Mark 3. 133 for Jim and 58 for Mark 4. 148 for Jim and 80 for Mark 5. 144 for Jim and 60 for Mark C
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