Tillyard Inc. requires a $25,000 1-year loan. The bank offers to make the loan, and it offers you three choices: (1) 15 percent simple interest, annual compounding; (2) 13 percent nominal interest, daily compounding (360-day year); (3) 9 percent add-on interest, 12 end-of-month payments. The first two loans would require a single payment at the end of the year, the third would require 12 equal monthly payments beginning at the end of the first month. What is the difference between the highest and lowest effective annual rates

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

Dr. sperry, a biologist, is using excel to track growth rates of different populations of bacteria. she has a very complex formula in one cell. it begins with “round”. dr. sperry would like to see exactly how excel’s calculation reached the final rounded value that she sees in the cell. what could dr. sperry do to best understand how the calculation was made? try different formulas on her own until she reaches the value shown in excel click on the evaluate formula button in the formulas tab and then click “step in” select the cell and then look at the formula in the formula field of the ribbon remove “round” from the formula in order to see the actual value before rounding

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.