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A magical college, Worthogs, was established in 1127 CE by in- troducing 62 widards to the academy. Faculty advance through the ranks discretely from year to year according to the following promotion rates: ⚫ Worthogs maintains the same number of assistant profes- sors each year. 4% of assistant professors become associate professors each year. 8% of associate professors become full professors each year. .4% of full professors retire each year. Describe the population of faculty at Worthogs by constructing the appropriate matrix model of the form ++1 = Mat. Determine how many faculty are currently at Wordhogs? Between 154.99 and 155.01

A magical college, Worthogs, was established in 1127 CE by in- troducing 62 widards to the academy. Faculty advance through the ranks discretely from year to year according to the following promotion rates: ⚫ Worthogs maintains the same number of assistant profes- sors each year. 4% of assistant professors become associate professors each year. 8% of associate professors become full professors each year. .4% of full professors retire each year. Describe the population of faculty at Worthogs by constructing the appropriate matrix model of the form ++1 = Mat. Determine how many faculty are currently at Wordhogs? Between 154.99 and 155.01

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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A magical college, Worthogs, was established in 1127 CE by in- troducing 62 widards to the academy. Faculty advance through the ranks discretely from year to year according to the following promotion rates: ⚫ Worthogs maintains the same number of assistant profes- sors each year. 4% of assistant professors become associate professors each year. 8% of associate professors become full professors each year. .4% of full professors retire each year. Describe the population of faculty at Worthogs by constructing the appropriate matrix model of the form ++1 = Mat. Determine how many faculty are currently at Wordhogs? Between 154.99 and 155.01
Transcribed Image Text:A magical college, Worthogs, was established in 1127 CE by in- troducing 62 widards to the academy. Faculty advance through the ranks discretely from year to year according to the following promotion rates: ⚫ Worthogs maintains the same number of assistant profes- sors each year. 4% of assistant professors become associate professors each year. 8% of associate professors become full professors each year. .4% of full professors retire each year. Describe the population of faculty at Worthogs by constructing the appropriate matrix model of the form ++1 = Mat. Determine how many faculty are currently at Wordhogs? Between 154.99 and 155.01
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