- A company started mining tin in Riverdale on 1st January 2019.
A model to find the total mass of tin that will be mined by the company in Riverdale is given by the equation
$$T = 1200 - 3 ( n - 20 ) ^ { 2 }$$
where \(T\) tonnes is the total mass of tin mined in the \(n\) years after the start of mining.
Using this model,
- calculate the mass of tin that will be mined up to 1st January 2020,
- deduce the maximum total mass of tin that could be mined,
- calculate the mass of tin that will be mined in 2023.
- State, giving reasons, the limitation on the values of \(n\).