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A town must obtain daily 100,000 litres of water with a pollution level less than or equal to 100
parts per million (ppm). It can get water from a river or a well. Ample river water is available,
and a filtration plant can provide water in sufficient quantity with pollution level of 150 ppm
and 75 ppm at costs of $10 and $30 per 1000 litres, respectively. The well can provide up to
40.000 litres of water daily. Without filtering, well water with a pollution level of 50 ppm costs
$40 per 1000 litres to pump. Well water can also be processed to provide very clean water with
per 1000 litres.
a pollution level of only 10 ppm by an experimental filtering station at an additional cost of $15
A. Formulate an appropriate linear programming to search for the most cost-effective solution that
fulfills the town's daily water requirement. Clearly define the design parameters, the
constraints, and the objective function. (formulation only, no need to solve)
B. How does the linear programing change if the 75 ppm process of the river filtration plant is shut
down for repairs?
C. Solve the linear program established in part B and identify the most cost-effective solution (the
values of the design parameters at which the cost is the minimum)

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