An effective method to recover water used for regeneration of ion exchange resins is to use a reverse osmosis system in a batch treatment mode. Such a system involves recirculation of the partially treated water back into the feed tank, causing the water to heat up. The water can be cooled using one of two systems: a single-pass heat exchanger or a closed-loop heat exchange system. The single-pass system, good for 4 years, requires a small chiller costing $900 plus stainless steel tubing, connectors, valves, etc. costing $600. The cost of water, treatment charges, electricity, etc. will be $5 per hour. The closed-loop system will cost $4, 000 to buy, will have a useful life of 6 years, and will cost $2 per hour to operate. An overhaul cost of $200 is incurred in the first year and this cost is increased by 5% every year. What is the minimum number of hours per year that the cooling system must be used in order to justify purchase of the closed-loop system? The interest rate is 10% per year, and the salvage values are negligible.

ENGR.ECONOMIC ANALYSIS
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An effective method to recover water used for regeneration of ion exchange resins is to use a reverse osmosis system in a batch treatment mode. Such a system involves recirculation of the partially treated water back into the feed tank, causing the water to heat up. The water can be cooled using one of two systems: a single-pass heat exchanger or a closed-loop heat exchange system. The single-pass system, good for 4 years, requires a small chiller costing $900 plus stainless steel tubing, connectors, valves, etc. costing $600. The cost of water, treatment charges, electricity, etc. will be $5 per hour. The closed-loop system will cost $4, 000 to buy, will have a useful life of 6 years, and will cost $2 per hour to operate. An overhaul cost of $200 is incurred in the first year and this cost is increased by 5% every year. What is the minimum number of hours per year that the cooling system must be used in order to justify purchase of the closed-loop system? The interest rate is 10% per year, and the salvage values are negligible.
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