QUESTION 4 4.1 A motor company manufacture and sell cars and motorbikes. The cost of manufacturing x motorbikes and y cars is given by C(x, y) = 100x +100xy + 400y². Each motorbike is sold for N$36 000-00 and each car is sold for N$180 000-00. Use Cramer's rule to determine the number of motorbikes and the number of cars that should be manufactured and sold for a maximum profit II and determine the maximum profit IIm max 4.2 Use the Jacobian to test for functional dependence between the cost and the revenue functions in 4.1. One of the stationary points of the function f(x, y)= x* + y – 2x² +4xy-2y² is (2,-V2). 4.3 Use the Hessian to test whether the given point is a maximum, minimum or a saddle point.
QUESTION 4 4.1 A motor company manufacture and sell cars and motorbikes. The cost of manufacturing x motorbikes and y cars is given by C(x, y) = 100x +100xy + 400y². Each motorbike is sold for N$36 000-00 and each car is sold for N$180 000-00. Use Cramer's rule to determine the number of motorbikes and the number of cars that should be manufactured and sold for a maximum profit II and determine the maximum profit IIm max 4.2 Use the Jacobian to test for functional dependence between the cost and the revenue functions in 4.1. One of the stationary points of the function f(x, y)= x* + y – 2x² +4xy-2y² is (2,-V2). 4.3 Use the Hessian to test whether the given point is a maximum, minimum or a saddle point.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.6: The Algebra Of Matrices
Problem 42E
Related questions
Question
Transcribed Image Text:QUESTION 4
4.1
A motor company manufacture and sell cars and motorbikes. The cost of manufacturing x
motorbikes and y cars is given by C(x, y) = 100x² +100xy + 400y. Each motorbike is sold for
N$36 000-00 and each car is sold for N$180 000-00. Use Cramer's rule to determine the number of
motorbikes and the number of cars that should be manufactured and sold for a maximum profit II
and determine the maximum profit IImax :
4.2
Use the Jacobian to test for functional dependence between the cost and the revenue functions in
4.1.
One of the stationary points of the function f(x, y) = x* +y - 2x +4xy-2y is (2,-V2).
4.3
%3D
Use the Hessian to test whether the given point is a maximum, minimum or a saddle point.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell