Question 2 (Campaign Strategy, 35 points). Bernadette is running for political office. Her campaign has raised a total of n dollars which can be spent on any of m different activities. She must spend a non- negative integer number of dollars on each activity, and the total of these expenditures cannot erceed n. If she spends k dollars on the jth activity, she will get f(k) votes from it, for some knoun functions f,. These functions f, ezhibit decreasing marginal votes per dollar spent. In particular, for any j and k 2 1, fj(k + 1)-fj(k) fj(k) _ fj(k-1). Bernadette uishes to allocate her money spending kj dollars on the jth opportunity so that -1 kj