1. Business
  2. Operations Management
  3. the output for the following is given max 3a ...

Question: the output for the following is given max 3a ...

Question details

The output for the following is given. Max: 3A + 4B Subject to -A + 2B lessthanorequalto 8 A + 2B lessthanorequalto 12 2A + B lessthanorequalto 16 A, B greaterthanorequalto 0

A. Is the value of 9.33 slack or is it surplus? How do you know?

B. If right hand side of the second constraint was increased to 15, what would be the new value of the objective function?

C. What is the maximum value of the right hand side of the second constraint such that the dual values stay the same?1. The output for the following is given. Max: 3A+4B Subject to A+2B8 A+2Bs12 2A+Bs16 A B20 ptimal Solution Objective Function Value - 30.667 Variable Value Reduced Costs X1 X2 6.667 2.667 0.000 0.000 Constraint Slack/Surplus Dual Frices 9.333 0.000 0.000 0.000 1.667 0.667 OBJECTIVE COEFFICIENT RANGES Variable Lower Limit Current Value Upper Limit X1 X2 2.000 1.500 3.000 4.000 8.000 6.000 RIGHT HAND SIDE RANGES Constraint Lower Limit Current Value Upper Limit -1.333 8.000 9.000 8.000 12.000 16.000 No Upper Limit 17.600 24.000 A. Is the value of 9.33 slack or is it surplus? Show how its calculated B. If right hand side of the second constraint was increased to 15, what would be the new value of the objective function? C. What is the maximum value of the right hand side of the second constraint such that the dual values stay the same

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution