The ogallala aquifer is a large underground pool of fresh water under several western states in the united states. any farmer with land above the aquifer can at present pump water out of it. we might expect thata over time, the aquifer is likely to be overused. b each farmer has a sufficient incentive to conserve the water. c state governments have an incentive to insure that their farmers do not overuse the water. d resources would be used more efficiently if the government paid for the pumps farmers use to get the water.

Cadbury has a chocolate factory in dunedin, new zealand. for easter, it makes two kinds of “easter eggs”: milk chocolate and dark chocolate. it cycles between producing milk and dark chocolate eggs. the table below provides data on these two products. demand (lbs per hour) milk: 500 dark: 200 switchover time (minutes) milk: 60 dark: 30 production rate per hour milk: 800 dark: 800 for example, it takes 30 minutes to switch production from milk to dark chocolate. demand for milk chocolate is higher (500lbs per hour versus 200 lbs per hour), but the line produces them at the same rate (when operating): 800 lbs per hour. a : suppose cadbury produces 2,334lbs milk chocolate and 1,652 lbs of dark chocolate in each cycle. what would be the maximum inventory (lbs) of milk chocolate? b : how many lbs of milk and dark chocolate should be produced with each cycle so as to satisfy demand while minimizing inventory?

Problem page a medical equipment industry manufactures x-ray machines. the unit cost c (the cost in dollars to make each x-ray machine) depends on the number of machines made. if x machines are made, then the unit cost is given by the function =cx+−0.3x2126x31,935 . how many machines must be made to minimize the unit cost?

Draw a flowchart for a process of interest to you, such as a quick oil-change service, a factory process you might have worked in, ordering a pizza, renting a car or truck, buying products on the internet, or applying for an automobile loan. identify the points where something (people, information) waits for service or is held in work-in-process inventory, the estimated time to accomplish each activity in the process, and the total flow time. evaluate how well the process worked and what might be done to improve it.