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?

Corporations with suppliers, vendors, and customers all over the globe are referred to as : a) global corporations b) international corporations c) multinational corporations d) multicultural corporations

5. profit maximization and shutting down in the short run suppose that the market for polos is a competitive market. the following graph shows the daily cost curves of a firm operating in this market. 0 2 4 6 8 10 12 14 16 18 20 50 45 40 35 30 25 20 15 10 5 0 price (dollars per polo) quantity (thousands of polos) mc atc avc for each price in the following table, calculate the firm's optimal quantity of units to produce, and determine the profit or loss if it produces at that quantity, using the data from the previous graph to identify its total variable cost. assume that if the firm is indifferent between producing and shutting down, it will produce. (hint: you can select the purple points [diamond symbols] on the previous graph to see precise information on average variable cost.) price quantity total revenue fixed cost variable cost profit (dollars per polo) (polos) (dollars) (dollars) (dollars) (dollars) 12.50 135,000 27.50 135,000 45.00 135,000 if the firm shuts down, it must incur its fixed costs (fc) in the short run. in this case, the firm's fixed cost is $135,000 per day. in other words, if it shuts down, the firm would suffer losses of $135,000 per day until its fixed costs end (such as the expiration of a building lease). this firm's shutdown price—that is, the price below which it is optimal for the firm to shut down—is per polo.

The green fiddle has declared a $5 per share dividend. suppose capital gains are not taxed, but dividends are taxed at 15 percent. new irs regulations require that taxes be withheld at the time the dividend is paid. green fiddle stock sells for $71.50 per share, and the stock is about to go ex-dividend. what will the ex-dividend price be?