A community of 300 residents (water use per person = 130 gpd) is lookingat using two sources for water supply: 1. Nearby lake, 2. Local well-aquifer system. The cost functions are as follows (C₁ and C₂ representcosts are in arbitrary monetary units and V is the volume of water pumpedper day, in gallons):Cost Functions:System 1: LakeC₁ = 410 +V22000System 2: Well-AquiferV²77x106C₂: =V3700 +40The two systems have distinct water conveyance system characteristics.System efficiency parameter (n = Volume pumpedVolume deliveredaccounts for pipe leak-age and related losses. Given71 = 0.84772 = 0.92In all computations, the goal is to minimize total cost.(a) Compute the optimal system configuration (that is, how much wa-ter is withdrawn from each source) to meet the community water needs.(b) A population projection for the year 2025 puts the population of thiscommunity at 400. Compute the system configuration to meet the pro-jected demand.(c) Through a conversation and reuse program, the community is able tolower its current per capita water use to 100 gpd. Recompute the systemconfiguration.

Optimal System Configuration****Calculations:**The Total Cost function is . Differentiate with…

A community of 300 residents (water use per person = 130 gpd) is looking at using two sources for water supply: 1. Nearby lake, 2. Local well- aquifer system. The cost functions are as follows (C₁ and C₂ represent costs are in arbitrary monetary units and V is the volume of water pumped per day, in gallons): Cost Functions: System 1: Lake C₁ = 410 + V 22000 System 2: Well-Aquifer V² 77x106 C₂: = V 3700 +40 System efficiency parameter (n = Volume pumped Volume delivered The two systems have distinct water conveyance system characteristics. accounts for pipe leak- age and related losses. Given 71 = 0.84 772 = 0.92 In all computations, the goal is to minimize total cost. (a) Compute the optimal system configuration (that is, how much wa- ter is withdrawn from each source) to meet the community water needs. (b) A population projection for the year 2025 puts the population of this community at 400. Compute the system configuration to meet the pro- jected demand. (c) Through a conversation and reuse program, the community is able to lower its current per capita water use to 100 gpd. Recompute the system configuration.

A community of 300 residents (water use per person = 130 gpd) is looking at using two sources for water supply: 1. Nearby lake, 2. Local well- aquifer system. The cost functions are as follows (C₁ and C₂ represent costs are in arbitrary monetary units and V is the volume of water pumped per day, in gallons): Cost Functions: System 1: Lake C₁ = 410 + V 22000 System 2: Well-Aquifer V² 77x106 C₂: = V 3700 +40 System efficiency parameter (n = Volume pumped Volume delivered The two systems have distinct water conveyance system characteristics. accounts for pipe leak- age and related losses. Given 71 = 0.84 772 = 0.92 In all computations, the goal is to minimize total cost. (a) Compute the optimal system configuration (that is, how much wa- ter is withdrawn from each source) to meet the community water needs. (b) A population projection for the year 2025 puts the population of this community at 400. Compute the system configuration to meet the pro- jected demand. (c) Through a conversation and reuse program, the community is able to lower its current per capita water use to 100 gpd. Recompute the system configuration.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A community of 300 residents (water use per person = 130 gpd) is looking
at using two sources for water supply: 1. Nearby lake, 2. Local well-
aquifer system. The cost functions are as follows (C₁ and C₂ represent
costs are in arbitrary monetary units and V is the volume of water pumped
per day, in gallons):
Cost Functions:
System 1: Lake
C₁ = 410 +
V
22000
System 2: Well-Aquifer
V²
77x106
C₂: =
V
3700 +40
The two systems have distinct water conveyance system characteristics.
System efficiency parameter (n = Volume pumped
Volume delivered
accounts for pipe leak-
age and related losses. Given
71 = 0.84
772 = 0.92
In all computations, the goal is to minimize total cost.
(a) Compute the optimal system configuration (that is, how much wa-
ter is withdrawn from each source) to meet the community water needs.
(b) A population projection for the year 2025 puts the population of this
community at 400. Compute the system configuration to meet the pro-
jected demand.
(c) Through a conversation and reuse program, the community is able to
lower its current per capita water use to 100 gpd. Recompute the system
configuration.

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