Bernard's firm has set corporate direction to become one of the leaders in each of its significant market segments. it was bernard's job to examine the pricing to determine how to maximize market share, even at the expense of profits in the short run. what kind of company objective would guide bernard's effort?

Alarge tank is filled to capacity with 500 gallons of pure water. brine containing 2 pounds of salt per gallon is pumped into the tank at a rate of 5 gal/min. the well-mixed solution is pumped out at the same rate. find the number a(t) of pounds of salt in the tank at time t.

Mr. drucker uses a periodic review system to manage the inventory in his dry goods store. he likes to maintain 15 sacks of sugar on his shelves based on the annual demand figure of 225 sacks. it costs $2 to place an order for sugar and costs $1 to hold a sack in inventory for a year. mr. drucker checks inventory one day and notes that he is down to 9 sacks; how much should he order?

Suppose that fizzo and pop hop are the only two firms that sell orange soda. the following payoff matrix shows the profit (in millions of dollars) each company will earn depending on whether or not it advertises: pop hopadvertise doesn’t advertisefizzo advertise 10, 10 18, 2doesn’t advertise 2, 18 11, 11for example, the upper right cell shows that if fizzo advertises and pop hop doesn't advertise, fizzo will make a profit of $18 million, and pop hop will make a profit of $2 million. assume this is a simultaneous game and that fizzo and pop hop are both profit-maximizing firms. if fizzo decides to advertise, it will earn a profit if pop hop advertises and a profit if pop hop does not advertise. if fizzo decides not to advertise, it will earn a profit if pop hop advertises and a profit if pop hop does not advertise. if pop hop advertises, fizzo makes a higher profit if it chooses (not to advertise, to .if pop hop doesn't advertise, fizzo makes a higher profit if it chooses (not to advertise, to . suppose that both firms start off not advertising. if the firms act independently, what strategies will they end up choosing? fizzo will choose to advertise and pop hop will choose not to advertise. both firms will choose to advertise. fizzo will choose not to advertise and pop hop will choose to advertise. both firms will choose not to advertise. again, suppose that both firms start off not advertising. if the firms decide to collude, what strategies will they end up choosing? fizzo will choose not to advertise and pop hop will choose to advertise. both firms will choose not to advertise. fizzo will choose to advertise and pop hop will choose not to advertise. both firms will choose to advertise.