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A flood control reservoir project and channel improvement project are proposed for reducing flood damages along a stream in an urban area. Estimated costs are as follows: Dam and reservoir project Channel improvement project Initial investment $1,500,000 $1,200,000 Annual maintenance $10,000/yr $5,000/yr Hydrologic, hydraulic and economic studies have been conducted to develop the following relationships for the river reach and flood plain: (a) annual exceedance probability versus peak discharge with and without the reservoir, (b) discharge versus stage with and without the channel improvement, and (c) stage versus damage Annual Peak discharge Stage (ft) exceedance (cfs) probability Without With Discharge reservoir reservoir (cfs) Without With Stage Damage project project (ft) million) 0.50 3,000 2,700 0 0 0 9 0.0 0.20 5,400 0.10 7,600 4,200 3,500 5,000 10. 7 10 0.2 10,000 15° 11 15 1.1 0.05 10,400 5,500 15,000 20 14 20 2.2 0.02 0.01 19,000 0.005 24,000 20,000 15,000 8,600 20,000 23 17 25 3.8 14,000 25,000 25 19 28 5.0 30,000 27 22 30 6.6 0.002 31,500 29,500 35,000 28 24 Perform an economic evaluation of the following alternative plans using a 40- year period of analysis and 10 percent discount rate. Determine the net benefits and benefit-to-cost ratio for each plan. Select the economically optimum plan. - construct the reservoir project Plan 1 - no action Plan 2 Plan 3 Plan 4 - construct the channel improvement project - construct both the reservoir and channel improvement projects

A flood control reservoir project and channel improvement project are proposed for reducing flood damages along a stream in an urban area. Estimated costs are as follows: Dam and reservoir project Channel improvement project Initial investment $1,500,000 $1,200,000 Annual maintenance $10,000/yr $5,000/yr Hydrologic, hydraulic and economic studies have been conducted to develop the following relationships for the river reach and flood plain: (a) annual exceedance probability versus peak discharge with and without the reservoir, (b) discharge versus stage with and without the channel improvement, and (c) stage versus damage Annual Peak discharge Stage (ft) exceedance (cfs) probability Without With Discharge reservoir reservoir (cfs) Without With Stage Damage project project (ft) million) 0.50 3,000 2,700 0 0 0 9 0.0 0.20 5,400 0.10 7,600 4,200 3,500 5,000 10. 7 10 0.2 10,000 15° 11 15 1.1 0.05 10,400 5,500 15,000 20 14 20 2.2 0.02 0.01 19,000 0.005 24,000 20,000 15,000 8,600 20,000 23 17 25 3.8 14,000 25,000 25 19 28 5.0 30,000 27 22 30 6.6 0.002 31,500 29,500 35,000 28 24 Perform an economic evaluation of the following alternative plans using a 40- year period of analysis and 10 percent discount rate. Determine the net benefits and benefit-to-cost ratio for each plan. Select the economically optimum plan. - construct the reservoir project Plan 1 - no action Plan 2 Plan 3 Plan 4 - construct the channel improvement project - construct both the reservoir and channel improvement projects

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section5.3: Assignment Models
Problem 10P
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A flood control reservoir project and channel improvement project are proposed for reducing flood damages along a stream in an urban area. Estimated costs are as follows: Dam and reservoir project Channel improvement project Initial investment $1,500,000 $1,200,000 Annual maintenance $10,000/yr $5,000/yr Hydrologic, hydraulic and economic studies have been conducted to develop the following relationships for the river reach and flood plain: (a) annual exceedance probability versus peak discharge with and without the reservoir, (b) discharge versus stage with and without the channel improvement, and (c) stage versus damage Annual Peak discharge Stage (ft) exceedance (cfs) probability Without With Discharge reservoir reservoir (cfs) Without With Stage Damage project project (ft) million) 0.50 3,000 2,700 0 0 0 9 0.0 0.20 5,400 0.10 7,600 4,200 3,500 5,000 10. 7 10 0.2 10,000 15° 11 15 1.1 0.05 10,400 5,500 15,000 20 14 20 2.2 0.02 0.01 19,000 0.005 24,000 20,000 15,000 8,600 20,000 23 17 25 3.8 14,000 25,000 25 19 28 5.0 30,000 27 22 30 6.6 0.002 31,500 29,500 35,000 28 24 Perform an economic evaluation of the following alternative plans using a 40- year period of analysis and 10 percent discount rate. Determine the net benefits and benefit-to-cost ratio for each plan. Select the economically optimum plan. - construct the reservoir project Plan 1 - no action Plan 2 Plan 3 Plan 4 - construct the channel improvement project - construct both the reservoir and channel improvement projects
Transcribed Image Text:A flood control reservoir project and channel improvement project are proposed for reducing flood damages along a stream in an urban area. Estimated costs are as follows: Dam and reservoir project Channel improvement project Initial investment $1,500,000 $1,200,000 Annual maintenance $10,000/yr $5,000/yr Hydrologic, hydraulic and economic studies have been conducted to develop the following relationships for the river reach and flood plain: (a) annual exceedance probability versus peak discharge with and without the reservoir, (b) discharge versus stage with and without the channel improvement, and (c) stage versus damage Annual Peak discharge Stage (ft) exceedance (cfs) probability Without With Discharge reservoir reservoir (cfs) Without With Stage Damage project project (ft) million) 0.50 3,000 2,700 0 0 0 9 0.0 0.20 5,400 0.10 7,600 4,200 3,500 5,000 10. 7 10 0.2 10,000 15° 11 15 1.1 0.05 10,400 5,500 15,000 20 14 20 2.2 0.02 0.01 19,000 0.005 24,000 20,000 15,000 8,600 20,000 23 17 25 3.8 14,000 25,000 25 19 28 5.0 30,000 27 22 30 6.6 0.002 31,500 29,500 35,000 28 24 Perform an economic evaluation of the following alternative plans using a 40- year period of analysis and 10 percent discount rate. Determine the net benefits and benefit-to-cost ratio for each plan. Select the economically optimum plan. - construct the reservoir project Plan 1 - no action Plan 2 Plan 3 Plan 4 - construct the channel improvement project - construct both the reservoir and channel improvement projects
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