The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars) on advertising is shown below.

P = − 1/10 s^3 + 15s^2 + 400

(a) Find the amount of money the company should spend on advertising in order to yield a maximum profit. s = thousands of dollars

(b) The point of diminishing returns is the point at which the rate of growth of the profit function begins to decline. Find the point of diminishing returns. s = thousands of dollars

Alaska king crab fishing in the 1960s and '70s was a dangerous but rich fishery. boats from as far away as california and japan braved the treacherous gulf of alaska crossing to reach the abundant king crab beds in cook inlet and bristol bay. suddenly, in the early 1980s, the fishery crashed due to over fishing. all crabbing in those areas ended. to this day, there is no crabbing in bristol bay or cook inlet. a. how would an economist explain the decline of the alaska king crab fishery