There are two routes for driving from A to B. One is freeway, and the other consists of local roads. The benefit of using the freeway is constant and equal to 3.6, irrespective of the number of people using it. Local roads get congested when too many people use this alternative, but if not enough peoople use it, the few isolated drivers run the risk of becoming victims of crimes. Suppose that when a fraction of x of the population is using the local roads, the benefit of this mode to each driver is given by: 1 + 8x – 9x²

Required:
a. Draw a graph showing the benefits of the two driving routes as functions of x, regarding x as a continuous variable between 0 and 1.
b. Identify all possible equilibrium traffic patterns from your graph in part (a). Which equilibria are stable? Which ones are unstable? Explain.
c. What value of x maximizes the total benefit to the whole population?

The following cost data relate to the manufacturing activities of chang company during the just completed year: manufacturing overhead costs incurred: indirect materials $ 15,800 indirect labor 138,000 property taxes, factory 8,800 utilities, factory 78,000 depreciation, factory 150,600 insurance, factory 10,800 total actual manufacturing overhead costs incurred $ 402,000 other costs incurred: purchases of raw materials (both direct and indirect) $ 408,000 direct labor cost $ 68,000 inventories: raw materials, beginning $ 20,800 raw materials, ending $ 30,800 work in process, beginning $ 40,800 work in process, ending $ 70,800 the company uses a predetermined overhead rate of $20 per machine-hour to apply overhead cost to jobs. a total of 20,500 machine-hours were used during the year. required: 1. compute the amount of underapplied or overapplied overhead cost for the year. 2. prepare a schedule of cost of goods manufactured for the year.

During the first month of operations, martinson services, inc., completed the following transactions: jan 2 martinson services received $65,000 cash and issued common stock to the stockholders. 3 purchased supplies, $1,000, and equipment, $12,000, on account. 4 performed services for a customer and received cash, $5,500. 7 paid cash to acquire land, $39,000. 11 performed services for a customer and billed the customer, $4,100. martinson expects to collect within one month 16 paid for the equipment purchased january 3 on account. 17 paid for newspaper advertising, $600. 18 received partial payment from customer on account, $2,000. 22 paid the water and electricity bills, $430. 29 received $2,600 cash for servicing the heating unit of a customer. 31 paid employee salary, $2,900. 31 declared and paid dividends of $1,800. requirements 1. record each transaction in the journal. key each transaction by date. explanations are not required. 2. post the transactions to the t-accounts, using transaction dates as posting references. label the ending balance of each account bal, as shown in the chapter. 3. prepare the trial balance of martinson services, inc., at january 31 of the current year. 4. mark martinson, the manager, asks you how much in total resources the business has to work with, how much it owes, and whether january was profitable (and by how much)?

Which of these things did galileo not do? a. stop publishing his scientific work after being convicted of heresy b. invent the concept of acceleration c. experiment with rolling balls down ramps of increasing steepness to test how objects would fall d. argue that earth moves around the sun e. make up a thought experiment that indicated that objects would fall at the same rate