Consider a version of the Tragedy of the Commons in which herder 1 and 2 simultaneously choose to graze quantities of sheep and , respectively, and in which the payoff functions are for 1 and for 2. The Nash equilibrium is :

The owners of backstreets italian restaurant are considering starting a delivery service forpizza and their other italian dishes in the small college town where they are located. theycan purchase a used delivery van and have it painted with their name and logo for $21,500.they can hire part-time drivers who will work in the evenings from 5 p.m. to 10 p.m. for$8 per hour. the drivers are mostly college students who study at the restaurant when theyare not making deliveries. during the day, there are so few deliveries that the regular employeescan handle them. the owners estimate that the van will last 5 years (365 days per year)before it has to be replaced and that each delivery will cost about $1.35 in gas and othermaintenance costs (including tires, oil, scheduled service, they also estimate that onaverage each delivery order will cost $15 for direct labor and ingredients to prepare andpackage, and will generate $34 in revenue.a. how many delivery orders must backstreets make each month in order for the service to break even? b. the owners believe that if they have approximately the break-even number of deliveries during the week, they will at least double that number on fridays, saturdays, and sundays. if that’s the case, how much profit will they make, at a minimum, from their delivery service each month (4 weeks per month)?

M. cotteleer electronics supplies microcomputer circuitry to a company that incorporates microprocessors into refrigerators and other home appliances. one of the components has an annual demand of 235 units, and this is constant throughout the year. carrying cost is estimated to be $1.25 per unit per year, and the ordering (setup) cost is $21 per order. a) to minimize cost, how many units should be ordered each time an order is placed? b) how many orders per year are needed with the optimal policy? c) what is the average inventory if costs are minimized? d) suppose that the ordering cost is not $21, and cotteleer has been ordering 125 units each time an order is placed. for this order policy (of q = 125) to be optimal, determine what the ordering cost would have to be.

Gary lives in an area that receives high rainfall and thunderstorms throughout the year. which device would be useful to him to maintain his computer?