The marketing firm evaluates that m months after the introduction of the client's new product, H(m) thousands of households will use product according to function below:
H(m)=3/2m(12-m), 0 ≤ m ≤12
i) Express H(m) as the quadratic function
ii) According to the function, find maximum number of households which will use product?
iii) According to the function, how many households will be using product 2 months after its introduction?