DOCUMENT NAME-RACK OF LAST PAGE 1. A Universit 1000 m3. This ca y need sto reduc
ID: 1712813 • Letter: D
Question
DOCUMENT NAME-RACK OF LAST PAGE 1. A Universit 1000 m3. This ca y need sto reduce the quantity of stormwater flowing off campus each year by at least n be accomplished by converting campus hectares (ha) to bioinfiltration basins (B) porous pavement (P), and/or roof fed underground galleries (R).30 pts Type Stormwater collected by type eachMaium ectare Cost of type $1000/ha) that can be Byear (m'/ha) 50 25 75 converted to type (ha) 100 25 20 120 100 (a) Create a linear programming model to solve the problem at minimum cost. Present the model below, using the format we used in class. Call your decision variables B, P, and R. Constroints F 1000 (b) Assume one of the constraints in your model has a shadow price of -5. Is the constraint binding optimal solution? What does a shadow price of -5 mean? (c) Assume one of the decision variables has a reduced cost of 10. Is the decision variable zer optimal solution? What does a reduced cost of 10 mean?Explanation / Answer
Type B
Storm water collected=50m^3/ha
That is, 50x100ha=5000ha
That is, 80x100ha=8000$ expensed for 5000ha
1.6$/ha
Similarly,
Type P expensed 3000$ for 625ha
4.8$/ha
Type R expensed 2000$ for 150ha
13.33$/ha
By observing these, we say type B achieved more.
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