Consider the following linear program:   MIN             Z = 60A + 50B s.t.                10A + 20B ≤ 200                      8A + 5B ≤ 80                      A ≥ 2                      B ≥ 5   Solve this linear program graphically and determine the optimal quantities of A, B, and the value of Z.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter5: Solving Systems Of Linear Equations
Section: Chapter Questions
Problem 15CT
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Consider the following linear program:

 

MIN             Z = 60A + 50B

s.t.                10A + 20B ≤ 200

                     8A + 5B ≤ 80

                     A ≥ 2

                     B ≥ 5

 

Solve this linear program graphically and determine the optimal quantities of A, B, and the value of Z.

Group of answer choices
A = 8.5, B = 5, Z = 760
A = 2, B = 5, Z = 370
A = 12, B = 2, Z = 820
A = 8, B = 8, Z = 880
A = 10, B = 3, Z = 750
A = 5 B = 5, Z = 550
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