are financial companies that pool money from investors and use the proceeds to create a portfolio that tracks an index or a commodity. Shares in the portfolio trade on a stock exchange.

Miller mfg. is analyzing a proposed project. the company expects to sell 8,000 units, plus or minus 2 percent. the expected variable cost per unit is $11 and the expected fixed costs are $287,000. the fixed and variable cost estimates are considered accurate within a plus or minus 5 percent range. the depreciation expense is $68,000. the tax rate is 32 percent. the sales price is estimated at $64 a unit, plus or minus 3 percent. what is the earnings before interest and taxes under the base case scenario?

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.]

In a perfectly competitive market, the long-run market supply curve tends to be horizontal or nearly so. what is another way to state this fact? (a) market supply is much more elastic in the long run than the short run. (b) in the long run, average total cost is minimized. (c) in the long run, price equals marginal cost. (d) market supply is much less elastic in the long run than the short run.