11. Wheat is to be grown on a farm.
A model predicts that the mass of wheat harvested on the farm will increase by \(1.5 \%\) per year, so that the mass of wheat harvested each year forms a geometric sequence.
Given that the mass of wheat harvested during year one is 6000 tonnes,
- show that, according to the model, the mass of wheat harvested on the farm during year 4 will be approximately 6274 tonnes.
During year \(N\), according to the model, there is predicted to be more than 8000 tonnes of wheat harvested on the farm.
- Find the smallest possible value of \(N\).
It costs \(\pounds 5\) per tonne to harvest the wheat.
- Assuming the model, find the total amount that it would cost to harvest the wheat from year one to year 10 inclusive. Give your answer to the nearest \(\pounds 1000\).