Suppose S = x + 2y is an objective function subject to the constraintxy = 50, for x > 0 and y > 0.a. Eliminate the variable y from the objective function so that S isexpressed as a function of one variable x.b. Find the absolute minimum value of S subject to the given constraint.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
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Suppose S = x + 2y is an objective function subject to the constraint
xy = 50, for x > 0 and y > 0.
a. Eliminate the variable y from the objective function so that S is
expressed as a function of one variable x.
b. Find the absolute minimum value of S subject to the given constraint.

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