The manager of a discretionary account places client funds in a suitable investment because it provides a higher commission than alternatives that are also suitable for the client. The selected investment subsequently appreciates in value. This investment manager did not:

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.]

If jobs have been undercosted due to underallocation of manufacturing overhead, then cost of goods sold (cogs) is too low and which of the following corrections must be made? a. decrease cogs for double the amount of the underallocation b. increase cogs for double the amount of the underallocation c. decrease cogs for the amount of the underallocation d. increase cogs for the amount of the underallocation

Acompany's sales in year 1 were $300,000, year 2 were $351,000, and year 3 were $400,000. using year 2 as a base year, the sales percent for year 3 is