(M1.1 A) Consider the Berries on a Farm model, where the bushels of berries increase by 10% every month and 600 bushels are harvested every month. For this work we will use At =1. Here's the model: 1 -В- 600 10 B' = B(0) = Bo. If B_0=3000, what happens to this model as the months go by? If B_0=9000, what happens to the madel as the months go by? What is the best initial value, B_0 for this model, so that the farm stays stable.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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(M1.1 A) Consider the Berries on a Farm model, where the bushels of berries increase by 10%
every month and 600 bushels are harvested every month. For this work we will use At =1.
Here's the model:
1
B' =
-В - 600
10
B(0) = Bo.
If B_0=3000, what happens to this model as the months go by?
If B_0=9000, what happens to the madel as the months go by?
What is the best initial value, B_0 for this model, so that the farm stays stable.
Transcribed Image Text:(M1.1 A) Consider the Berries on a Farm model, where the bushels of berries increase by 10% every month and 600 bushels are harvested every month. For this work we will use At =1. Here's the model: 1 B' = -В - 600 10 B(0) = Bo. If B_0=3000, what happens to this model as the months go by? If B_0=9000, what happens to the madel as the months go by? What is the best initial value, B_0 for this model, so that the farm stays stable.
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