E/P 4 (2 marks)
A car manufacturing company uses a model to determine how the number of workers
employed, w, affects the number of cars produced per day, q.
The model suggests q = 0.4w -- 0.00008 w2.
a Suggest a reason why this model does not contain a constant term.
(1 mark)
On a particular day, 1500 workers are employed.
(1 mark)
b Find the number of cars produced on this day.
c According to the model, what is the maximum number of cars that can be produced and
how many workers are needed for this?
(3 marks)