A Delicate Balance
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In maths we started answering the following question:

1a: We are buying a boiler for our new school, we have a choice of two.
A normal boiler costs £100,000
A combined heat and power boiler (CHP) costs £150,000

Which should we buy?


1b: Fuel for the normal boiler will cost £2000 per month.
The CHP boiler will save 2/3 of the bill.
How long will it be before the CHP boiler is cheaper?


1c: You have to borrow the difference in cost between the two boilers and the interest rate is 5%. How long will it now be before the CHP boiler is cheaper?


1d: If the normal boiler is serviced twice per year and the CHP boiler is serviced once per year how long will it be before the CHP boiler is cheaper if servicing of both boilers is £500.


What is your final recommendation to the Headteacher about the boiler for the new school?


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