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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 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

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

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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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

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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