Question $1(10$ pts$).$ There are two heat exchangers in a hydrochloric acid production plant which are used for the same service. One of them was bought in $1996$ and the other one was in $2003.$ The one which was bought in $1996$ had a price of $27000$$ and heat transfer area of $85m^2$ and the other one which was bought in $2003$ had a price of $34000$$ and heat transfer area of $150m^2.$ What is the cost of a heat exchanger that will be used for the same service in $2014$ with a heat transfer area of $110m^2?$