Afruit grower estimates that if he harvests his crop of oranges now, he will get 100 pounds per tree, which he can sell for $.25 per pound. for each week he waits, he estimates that the crop will increase by 10 lb. per tree, but the price will decrease by $.01 per week. when should he pick the oranges to obtain the maximum profit? what would his profit be at this time?

Google started as one of many internet search engines, amazon started as an online book seller, and ebay began as a site where people could sell used personal items in auctions. these firms have grown to be so large and dominant that they are facing antitrust scrutiny from competition regulators in the us and elsewhere. did these online giants grow by fairly beating competition, or did they use unfair advantages? are there any clouds on the horizon for these firms -- could they face diseconomies of scale or diseconomies of scope as they continue to grow? if so, what factors may limit their continued growth?