Convert the following problems to standard form: (a) Minimize a + 2y + 3z subject to 2 < + y < 3, 4 < x + z < 5, and a 2 0, y 2 0, z 2 0. (b) Minimize a + y + z subject to a + 2y + 3z 10, and a > 1, y 2 2, z 2 1.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.8: Systems Of Linear Inequalities
Problem 2E
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Convert the following problems to standard form:
(a)
Minimize a+ 2y + 3z
subject to 2 < x +y < 3,
4 <x + z < 5,
and r > 0, y 2 0, z > 0.
(b)
Minimize r +y+z
subject to a + 2y + 3z = 10,
and a > 1, y 2 2, z > 1.
Transcribed Image Text:Convert the following problems to standard form: (a) Minimize a+ 2y + 3z subject to 2 < x +y < 3, 4 <x + z < 5, and r > 0, y 2 0, z > 0. (b) Minimize r +y+z subject to a + 2y + 3z = 10, and a > 1, y 2 2, z > 1.
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