g) (1 point) write the first order condition of the maximisation problem faced by the premier's advisors with these functional forms. h) (1 point) This year, winter is ten and a half months long (!), i.e. WE 8 Show that optimal provincial funding this year is f = 1. i) (5 points) Suppose the advisors know that, next year, winter will be slightly shorter than it was this year. Will optimal funding next year be higher or lower? Justify your answer mathematically, but do not redo the optimisation problem. Hint: you need to compute a derivative here. (2 points) Explain the economic intuition of your previous