Concept explainers
To find: The current instantaneous rate of increase4 of the total annual production of the apples.
Answer to Problem 51E
The current rate of the increase of the annual production of the apple is 390.
Explanation of Solution
Given Data:
The apple farmer that currently has the 156 trees yielding the average of 12 bushels of the apple per tree.
The farm is expanding farm at the rate of 13 trees per year.
The annual average yield is 1.5 bushels per tree.
Calculation:
Consider the function for the number of tress
Consider the yield per tree is
The required equation is,
Then,
Consider the rate of increase of the production is,
Then,
Thus, the current rate of the increase of the annual production of the apple is 390.
Chapter 3 Solutions
Calculus: Graphical, Numerical, Algebraic: Solutions Manual
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