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A major oil company wants to build a refinery that will be supplied from three port cities. Port B is located 300 km east and 400 km north of Port A, while Port C is 400 km east and 100 km south of Port B. Determine the location of the refinery so that the total length of pipe required to connect the refinery to the ports is minimized. a. Formulate a nonlinear programming model to the problem. b. Define your decision variables clear. c. Set-up the objective function. d. Suppose that in the optimal solution for this problem, a decision variable has a negative value. Explain what this negative value would signify.

A major oil company wants to build a refinery that will be supplied from three port cities. Port B is located 300 km east and 400 km north of Port A, while Port C is 400 km east and 100 km south of Port B. Determine the location of the refinery so that the total length of pipe required to connect the refinery to the ports is minimized. a. Formulate a nonlinear programming model to the problem. b. Define your decision variables clear. c. Set-up the objective function. d. Suppose that in the optimal solution for this problem, a decision variable has a negative value. Explain what this negative value would signify.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A major oil company wants to build a refinery that will be supplied from three port cities. Port B is located 300 km east and 400 km north of Port A, while Port C is 400 km east and 100 km south of Port B. Determine the location of the refinery so that the total length of pipe required to connect the refinery to the ports is minimized. a. Formulate a nonlinear programming model to the problem. b. Define your decision variables clear. c. Set-up the objective function. d. Suppose that in the optimal solution for this problem, a decision variable has a negative value. Explain what this negative value would signify.
Transcribed Image Text:A major oil company wants to build a refinery that will be supplied from three port cities. Port B is located 300 km east and 400 km north of Port A, while Port C is 400 km east and 100 km south of Port B. Determine the location of the refinery so that the total length of pipe required to connect the refinery to the ports is minimized. a. Formulate a nonlinear programming model to the problem. b. Define your decision variables clear. c. Set-up the objective function. d. Suppose that in the optimal solution for this problem, a decision variable has a negative value. Explain what this negative value would signify.
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