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.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 2EQ: 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed...
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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.
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