For a natural monopoly to exist

a. a firm's long run average cost curve must exhibit economies of scale throughout the relevant range of market demand.
b. a firm's long run average cost curve must exhibit diseconomies of scale beyond the economically efficient output level.
c. a firm must continually buy up its rivals.
d. a firm must have a governmentminus−imposed barrier.

Imagine you own an established startup with growing profits. you are looking for funding to greatly expand company operations. what method of financing would be best for you?

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.]

Most angel investors expect a return on investment of question options: 20% to 25% over 5 years. 15% to 20% over 5 years. 75% over 10 years. 100% over 5 years.