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<br />Problem II <br /> <br />An irrigator is restricted to a maximum withdrawal of 150 acre-ft <br /> <br />during the 150-day growing season, provided his pumping depletes the <br /> <br />stream less than 25 acre-ft during the season. His well is 1 mile from <br /> <br />the stream and I/~ = 133,700 ftS Iday. Examine the effects of several <br /> <br />possible pumping patterns: <br /> <br />sdf <br /> <br />= ;{ ~/! <br /> <br />S <br />=~= <br />.!/~ <br /> <br />(5280 ft)s <br />(133700 ftS Iday) <br /> <br />= 209 days. <br /> <br />Part (1) <br /> <br />First, test to see if both restrictions apply to any combination <br /> <br />of pumping time and rate within the 150-day period. Try ending <br /> <br />. <br /> <br />pumping the last day of the season, beginning pumping at a time and <br /> <br />rate such that pumping 150 acre-ft will result in a depletion of the <br /> <br />stream of 25 acre-ft at the end of pumping. <br /> <br />Qt = 150 acre-ft, v = 25 acre-ft, v/Qt = 0.167. <br />- <br /> <br />From Curve B: <br /> <br />tT/as S = 0.54, <br />-- -- <br /> <br />t = 0,54 (sdf) <br />- <br /> <br />= 0.54 (209 days) = 113 days, or 37 days after <br /> <br />^ <br /> <br />beginning of season. <br /> <br />Q = 150 acre-ft = 1.33 acre-ft/day. <br />113 days <br /> <br />~o <br />~ <br /> <br />24 <br />