The current stock price of alcoa is $70, and the stock does not pay dividends. the instantaneous risk-free rate of return is 6%. the instantaneous standard deviation of alcoa's stock is 40%. you want to purchase a call option on this stock with an exercise price of $75 and an expiration date 30 days from now. based on the black-scholes opm, the call option's delta will be

a. 62

b. 31

c. 28

d. 70

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 state in which the manufacturing company you work for is located regulates the presence of a particular substance in the environment to concentrations ≤ x. recently-released, reliable research endorsed by the responsible federal agency conclusively demonstrates that the substance poses no risks at concentrations up to 5x. your company has asked you to consider designing a new process with a waste discharge stream containing up to 2x of the substance. based on the stated conditions, describe this possible.

James is an employee in the widget inspection department of xyz systems, a government contractor. james was part of a 3-person inspection team that found a particular batch of widgets did not meet the exacting requirements of the u.s. government. in order to meet the tight deadline and avoid penalties under the contract, james' boss demanded that the batch of widgets be sent in fulfillment of the government contract. when james found out, he went to the vice president of the company and reported the situation. james was demoted by his boss, and no longer works on government projects. james has a: