3) A man-made lake is going to be stocked with two types of fish. Let ? represent the number of bass, and let ? represent the number of catfish. The average weight of a bass is given by ?(?, ?) = 8 − 0.01? 1/2 − 0.05?, and the average weight of a catfish is given by ?(?, ?) = 20 − 0.01? − 0.2? 1/3 . Find both partial derivatives of both functions when (?, ?) = (100, 125), and explain what they represent in words. 3) A man-made lake is going to be stocked with two types of fish. Let b represent thenumber of bass, and let c represent the number of catfish. The average weight of abass is given by f (b, c) = 8- 0.01b/2 – 0.05c, and the average weight of a catfishis given by g(b, c) = 20 – 0.01b- 0.2c/3. Find both partial derivatives of bothfunctions when (b, c) = (100, 125), and explain what they represent in words.%3D

The average weight of bass is given by, fb,c=8−0.01b1/2−0.05c The average weight of catfish is given…

Answered: average weight of a bass is given by…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 17EQ

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3) A man-made lake is going to be stocked with two types of fish. Let ? represent the number of bass, and let ? represent the number of catfish. The average weight of a bass is given by ?(?, ?) = 8 − 0.01? 1/2 − 0.05?, and the average weight of a catfish is given by ?(?, ?) = 20 − 0.01? − 0.2? 1/3 . Find both partial derivatives of both functions when (?, ?) = (100, 125), and explain what they represent in words.

3) A man-made lake is going to be stocked with two types of fish. Let b represent the
number of bass, and let c represent the number of catfish. The average weight of a
bass is given by f (b, c) = 8- 0.01b/2 – 0.05c, and the average weight of a catfish
is given by g(b, c) = 20 – 0.01b- 0.2c/3. Find both partial derivatives of both
functions when (b, c) = (100, 125), and explain what they represent in words.
%3D

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