Raphael, Alex, and Clancy are lumberjacks who live next to a forest that is open to logging; in other words, anyone is free to use the forest for logging. Assume that these men are the only three lumberjacks who log in this forest and that the forest is large enough for all three lumberjacks to log intensively at the same time. Each year, the lumberjacks choose independently how many acres of trees to cut down; specifically, they choose whether to log intensively (that is, to clear-cut a section of the forest, which hurts the sustainability of the forest if enough people do it) or to log nonintensively (which does not hurt the sustainability of the forest). None of them has the ability to control how much the others log, and each lumberjack cares only about his own profitability and not about the state of the forest.
Assume that as long as no more than one lumberjack logs intensively, there are enough trees to regrow the forest. However, if two or more log intensively, the forest will become useless in the future. Of course, logging intensively earns a lumberjack more money and greater profit because he can sell more trees.

Question 1 which of the following tasks use your roommate as a resource? choose all answers which apply. take order wash the mixer’s bowl and mix the dough spoon cookies onto the tray unload the cookies from the oven pack the cookies 1 points question 2 which of the following tasks use the tray(s) as a resource? choose all answers which apply. take order wash the mixer’s bowl and mix the dough bake the cookies cool the cookies accept payment 1 points question 3 determine the task time for the following tasks. fill integer numbers into the blank (e.g., 5 rather than 5.0) wash and mixing the dough: minute(s)/order spoon cookies onto the tray: minute(s)/order set up timer: minute(s)/order bake: minute(s)/order cool the cookies: minute(s)/order pack the cookies: minute(s)/order accept payment: minute(s)/order 2 points question 4 q4: determine the cycle time for the following resources. fill integer numbers into the blank (e.g., 5 rather than 5.0) kristen (you): minute(s) roommate: minute(s) oven: minute(s) 2 points question 5 what is the capacity rate (in orders/hour) of the roommate? 1 points question 6 what is the capacity rate (in orders/hour) of the whole process? 2 points question 7 how long (in minutes) it takes to process the first order?

Insurance companies have internal controls in place to protect assets, monitor the accuracy of accounting records and encourage operational efficiencies and adherence to policies. these internal controls are generally of two types: administrative controls and accounting controls. administrative controls are the policies and procedures that guide the daily actions of employees. accounting controls are the policies and procedures that delineate authorizations of financial transactions that are done, safeguard assets, and provide reports on the company’s financial status in a reliable and timely manner. internal controls should include both preventative and detective controls. the purpose of preventative controls is to stop problems and errors before they occur. detective controls identify problems after they have occurred. preventative controls are usually more effective at reducing problems, but they also tend to be more expensive. internal controls must be flexible to adjust for changes in laws and regulations in addition to adding new products or modifying current ones. companies must also do regular analyses to ensure that the benefits of implementing the controls are worth their costs. when concerned about paying unwarranted insurance claims which type of control would be useful?

U.s. internet advertising revenue grew at the rate of r(t) = 0.82t + 1.14 (0 ≤ t ≤ 4) billion dollars/year between 2002 (t = 0) and 2006 (t = 4). the advertising revenue in 2002 was $5.9 billion.† (a) find an expression f(t) giving the advertising revenue in year t.