Suppose Stan owns a piece of property with a large lake. Initially, Stan and his family were the only people who swam in the lake. Then Stan started selling tickets to people who wanted to go swimming in the lake. When Stan died, he left the lake and the land it was on to the state, stipulating that the lake be left open to the public for swimming. Due to the lake’s remote location, it was never crowded. After Stan died, the lake became a good.

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.]

A4-year project has an annual operating cash flow of $59,000. at the beginning of the project, $5,000 in net working capital was required, which will be recovered at the end of the project. the firm also spent $23,900 on equipment to start the project. this equipment will have a book value of $5,260 at the end of the project, but can be sold for $6,120. the tax rate is 35 percent. what is the year 4 cash flow?

The school cafeteria can make pizza for approximately $0.30 a slice. the cost of kitchen use and cafeteria staff runs about $200 per day. the pizza den nearby will deliver whole pizzas for $9.00 each. the cafeteria staff cuts the pizza into eight slices and serves them in the usual cafeteria line. with no cooking duties, the staff can be reduced by half, for a fixed cost of $75 per day. should the school cafeteria make or buy its pizzas?