Youve started recording how long your cellphone battery lasts between charges. you find that the length of time between charges is, x, is normally distributed with a mean of 10 hours and a standard deviation of 1.5 hours. what is the probability that your cellphone battery will last between 8 and 12 hours between charges?

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.]

Henry crouch's law office has traditionally ordered ink refills 55 units at a time. the firm estimates that carrying cost is 35% of the $11 unit cost and that annual demand is about 240 units per year. the assumptions of the basic eoq model are thought to apply. for what value of ordering cost would its action be optimal? a) for what value of ordering cost would its action be optimal?

Which of the following is one of the advantages primarily associated with a performance appraisal? (a) it protects employees against discrimination on the basis of race. (b) it motivates employees to work on their shortcomings. (c) it encourages employees to play the role of the whistle-blower. (d) it accurately measures the resources of the firm.