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Use the Following Management Scientist Output to Answer the Questions

Question 41

Essay

Use the following Management Scientist output to answer the questions.
LINEAR PROGRAMMING PROBLEM
MAX 31X1+35X2+32X3
S.T.
1) 3X1+5X2+2X3>90
2) 6X1+7X2+8X3<150
3) 5X1+3X2+3X3<120
OPTIMAL SOLUTION
Objective Function Value = 763.333 Use the following Management Scientist output to answer the questions. LINEAR PROGRAMMING PROBLEM MAX 31X1+35X2+32X3 S.T. 1) 3X1+5X2+2X3>90 2) 6X1+7X2+8X3<150 3) 5X1+3X2+3X3<120 OPTIMAL SOLUTION Objective Function Value = 763.333 OBJECTIVE COEFFICIENT RANGES RIGHT HAND SIDE RANGES a.Give the solution to the problem. b.Which constraints are binding? c.What would happen if the coefficient of x<sub>1</sub> increased by 3? d.What would happen if the right-hand side of constraint 1 increased by 10? Use the following Management Scientist output to answer the questions. LINEAR PROGRAMMING PROBLEM MAX 31X1+35X2+32X3 S.T. 1) 3X1+5X2+2X3>90 2) 6X1+7X2+8X3<150 3) 5X1+3X2+3X3<120 OPTIMAL SOLUTION Objective Function Value = 763.333 OBJECTIVE COEFFICIENT RANGES RIGHT HAND SIDE RANGES a.Give the solution to the problem. b.Which constraints are binding? c.What would happen if the coefficient of x<sub>1</sub> increased by 3? d.What would happen if the right-hand side of constraint 1 increased by 10? OBJECTIVE COEFFICIENT RANGES Use the following Management Scientist output to answer the questions. LINEAR PROGRAMMING PROBLEM MAX 31X1+35X2+32X3 S.T. 1) 3X1+5X2+2X3>90 2) 6X1+7X2+8X3<150 3) 5X1+3X2+3X3<120 OPTIMAL SOLUTION Objective Function Value = 763.333 OBJECTIVE COEFFICIENT RANGES RIGHT HAND SIDE RANGES a.Give the solution to the problem. b.Which constraints are binding? c.What would happen if the coefficient of x<sub>1</sub> increased by 3? d.What would happen if the right-hand side of constraint 1 increased by 10? RIGHT HAND SIDE RANGES Use the following Management Scientist output to answer the questions. LINEAR PROGRAMMING PROBLEM MAX 31X1+35X2+32X3 S.T. 1) 3X1+5X2+2X3>90 2) 6X1+7X2+8X3<150 3) 5X1+3X2+3X3<120 OPTIMAL SOLUTION Objective Function Value = 763.333 OBJECTIVE COEFFICIENT RANGES RIGHT HAND SIDE RANGES a.Give the solution to the problem. b.Which constraints are binding? c.What would happen if the coefficient of x<sub>1</sub> increased by 3? d.What would happen if the right-hand side of constraint 1 increased by 10?
a.Give the solution to the problem.
b.Which constraints are binding?
c.What would happen if the coefficient of x1 increased by 3?
d.What would happen if the right-hand side of constraint 1 increased by 10?

Correct Answer:

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a.x1 = 13.33, x2 = 10, x3 = 0, s1 = 0, s2 = 0...

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