Maximize z= 5R+8P Subject to R+3/2P≤900 1/2R+1/3P≤300 1/8R+1/4P≤100 R,P ≥ 0 non-binding constraint: R+(3/2) P≤900 binding constraints: (1/8) R+(1/4) P≤100 and (1/2) R+(1/3) P≤300 redundant constraint R+(3/2) P≤900 1. What is the range of the coeficient, c1, of the decision variable R that will make the optimal solution remain unchange? a. 13/3≤c1≤7 b. 10/3≤c1≤10 c. 4≤c1≤12 d. 13/2≤c1≤19/2 2. What is the range of the coeficient, c2, of the decision variable P that will make the optimal solution remain unchange? a. 13/3≤c1≤7 b. 10/3≤c1≤10 c. 4≤c1≤12 d. 13/2≤c1≤19/2
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Maximize z= 5R+8P
Subject to
R+3/2P≤900
1/2R+1/3P≤300
1/8R+1/4P≤100
R,P ≥ 0
non-binding constraint: R+(3/2) P≤900
binding constraints: (1/8) R+(1/4) P≤100 and (1/2) R+(1/3) P≤300
1. What is the range of the coeficient, c1, of the decision variable R that will make the optimal solution remain unchange?
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