During a 24-hr day, 800,000 kg of a water-caustic soda liquor containing 6% by weight caustic soda must be concentrated to 45% by weight. The ratio of the total evaporation from all the effects to the amount of steam used is equal to 0.7 N2.5 where N is the number of effects. Steam costs $0.25 per 1000kg. There are 300 operating days per year. A single Effect evaporator available has an initial completely installed cost of $25,000 while subsequent effects for multiple effect evaporation costs 10%less. The life period of each effect is estimated to be 8 years with a scrap value of $5000. Find the minimum total cost.