Ms. prindable makes caramel apples (y) out of normal apples (a) and caramel (c) through the production function 1/ 31/ 2yac. she sells them for 12 cents each at the weekly farmer's market. normal apples cost 2 cents each and when ms. prindable is maximizing her profits, she uses 64 units of caramel. (ms. prindable is a price-taker.) find the price per unit of caramel.

Email viruses are typically launched by people who modify header information to hide their identity. brightmail's enrique salem says that in the future, your email reader will authenticate the sender before putting hte message in your inbox. that way, you will know the source of all the emails you read. alan nugent of novell says, "i'm kind of a fan of eliminating anonymity if that is the price for security." will eliminating anonymity make computers more secure?

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

Which change is illustrated by the shift taking place on this graph? a decrease in supply an increase in supply o an increase in demand o a decrease in demand