How might you best address having all the required skills for a management role except direct supervision of employees?

You have just received notification that you have won the $2.0 million first prize in the centennial lottery. however, the prize will be awarded on your 100th birthday (assuming you're around to collect), 66 years from now. what is the present value of your windfall if the appropriate discount rate is 8 percent?

Claire wants to include animations in her presentation slides. which element of the presentation program’s interface will have the options for animation? claire should use the to include animations in her presentation slides.

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.]