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Starfinder Society
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Pluralistic Society Questions
Dharwar Drilling Drilling Society (DDS) (D DS) The objective of the society is to motivate farmers t o take the risk of drilling and to increase area under irrigation. The farmers will also become self -reliant and have better standard of living. The managing managing director of DDS, Mr. Nijalingappa is facing problem problem of deciding how to mitigate the risk that the poor farmers has to undertake. To help him in his problem he has asked Ms. Malati Prasad, a student of WIMWI, to examine it and come up with a possible solution. Details of the case were explained to her.
Decision maker : Mr. Nijalingappa and Ms. Malati Prasad. Decision points: 1. Soil condition. 2. Survey. -No of sites recommended for drilling by survey.
Decision variables: 1. Additional Per foot charge taken for successful cases (x per foot) . 2. Government subsidy for special and normal cases in failed wells (the number of special cases). 3. Cost of digging in various cases.
Objective : To reduce burden on farmer farmer with unsuccessful wells by charging appropri ate amount from successful ones.
Constraints: Additional charge per foot on successful wells should be greater than zer o( i.e. x>0).
The two options available are with survey diggingand without survey digging, we need to find the cost implication in both the cases. Considering we have a total of 800 sites to be dug. A.WITH SURVEY:
Considering recommended wells are 560 out of the 800 for drilling (average depth of 200 feet). Success rate is 80%,for 560 it will be 448. A.1 SUCCESS CASE:
Cost for 448 wells: 448 *50*200 +448*490(survey cost) +additional. Additional for 448 is x*448*200. 490 is per well cost of survey. A.2 UNSUCCESSFUL CASE:
Cost for unsuccessful 112 wells: Cost for 112 wells: 112*50*200 + 112*490(survey cost) . B.WITHOUT SURVEY: For 200 feet:
For 800 wells 60% chance of success gives 480 well striking water. B.1 SUCCESS CASE:
Cost for 480 wells: 480 *50*200 + additional. Additional for 480 is x*480*200. B.2 UNSUCCESSFUL CASE at 200 feet(320 left wells):
Amount will be 320*200*50. We can dig to 250 feet depending on
soil condition
That is another 50 extra foot. As 20% soil condition is favourable for digging which gives us 64 wells.
Out of the 64, 30% i.e. 19 wells are success and remaining 45 are failures. B2.1Cost of digging in 19 wells: 19*50*50 + additional.
Additional is 19*50*x. B2.2Cost of digging for unsuccessful 45 wells:45*50*50.
FUNCTION FOR BASIS OF DECISION: Additional amount gained from successful scenarios should be >= 20% or 50%(subsidy in special cases is 50%) of cost in unsuccessful cases. There are many uncontrollable outcomes which can have impact like soil condition not being favourable for drilling, cost per foot for drilling is also variable which can increase or decrease the cost. We have not taken into account water table going up or down in the region. Charging of water table will reduce cost and vice versa if it goes down. A rise and fall in government subsidy can change the risk associated dramatically. A rise will reduce the risk and a fall will increase it.
