Discuss what is the extreme points

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Question: The following text taken from a book on mathematics for management contains grave errors. Sort them out. "Consider the general problem of finding the extreme points of z = f (x, y) subject to the constraint g(x, y) = 0. Clearly the extreme points must satisfy the pair of equations f'x (x, y) = 0, f'y (x, y) = 0 in addition to the constraint g(x, y) = 0. Thus, there are three equations that must be satisfied by the pair of unknowns x,y. Because there are more equations than unknowns, the system is said to be over determined and, in general, is difficult to solve. In order to facilitate computation ... " (A description of the Lagrange method follows.)

Reference no: EM131567317

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