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Answer the questions below and provide justification to obtain full credit for your answers where necessary.
a.What impact does a change in the right-hand side value of a non-binding constraint usually have on the objective function value of a problem?
b.What is the shadow price of a constraint when the constraint has 40 unused hours?
c.What does it imply when a constraint (e.g., labor hours) has a surplus of 10 hours?
d.Name any two techniques that can be classified as an example of decision making under certainty (or also known deterministic modeling). Also provide a practical example of the same.
e.Explain in your own words why integer programming (IP) problems are more difficult to solve than linear programming (LP) problems
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In a particular engineering project team, four design jobs can be performed by any of the five resident experts. The profit generated by each individual resident expert for each design job is presented in the following table:
|1||$ 10,000.00||$ 12,000.00||$ 16,000.00||$ 10,000.00||$ 14,000.00|
|2||$ 14,000.00||$ 13,000.00||$ 15,000.00||$ 12,000.00||$ 16,000.00|
|3||$ 16,000.00||$ 12,000.00||$ 12,000.00||$ 10,000.00||$ 18,000.00|
|4||$ 13,000.00||$ 16,000.00||$ 11,000.00||$ 11,000.00||$ 16,000.00|
You are required to select resident experts for the available jobs such that the profit generated is maximized by formulating and setting up the appropriate model to find the best solution.
Provide the written formulation in a Word document. (Provide a complete description of the decision variables used along with their units and also label the constraints mentioned in the problem as completely as possible.
The Excel set-up should provide clearly labeled values used for the decision variables, constraints, and objective function.
The city of Six Mile, South Carolina, is considering making several of its streets one-way. What is the maximum number of cars per hour that can travel from east (node 1) to west (node 8)? The network is shown below.
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