n a new resort city at Kuantan, Malaysia, the present population is 1000 and dai

Question

n a new resort city at Kuantan, Malaysia, the present population is 1000 and daily per capita water demand (normal demand) is 150 liter (including household, gardening, car washing, etc.). But there is a deficit of water by 10% of the demand. As an Executive Engineer of the City Corporation, you are going to submit a water-supply project to the higher authority. For that purpose, you will perform economic analysis of different supply options for the projected demand. You are planning the project for 20 yrs projection. Expected average population increase (growth rate) during this period is 2% per annum, and the increase in per capita water-demand due to change in income is expected to 10% (during 20 yrs period, not annually). Determine the design capacity of the water-supply project.

Explanation / Answer

A B C D E F G Year Year wise Consumption Year wise accumulation of Population Year wise accumulation of demand (FxG) (Fx1.02) Every year (Gx1.005) Every year 1 1000 135 365 49275000 1000 49275 2 50511802.5 1020 49521.375 3 51779648.74 1040.4 49768.98188 4 53079317.93 1061.208 50017.82678 5 54411608.81 1082.43216 50267.91592 6 55777340.19 1104.080803 50519.2555 7 57177351.43 1126.162419 50771.85178 8 58612502.95 1148.685668 51025.71103 9 60083676.77 1171.659381 51280.83959 10 61591777.06 1195.092569 51537.24379 11 63137730.66 1218.99442 51794.93001 12 64722487.7 1243.374308 52053.90466 13 66347022.14 1268.241795 52314.17418 14 68012332.4 1293.60663 52575.74505 15 69719441.94 1319.478763 52838.62378 16 71469399.93 1345.868338 53102.81689 17 73263281.87 1372.785705 53368.33098 18 75102190.25 1400.241419 53635.17263 19 76987255.22 1428.246248 53903.3485 20 78919635.33 1456.811173 54172.86524 Total Consumption for 20years               1,25,99,80,803.82

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