A service station has one gasoline pump. Cars wanting gasoline arrive according to a Poisson process at a rate of 15 per hour. There is only room for at most 5 vehicles at the service station (including the one at the pump). However, if the pump already is being used, these potential customers may balak (drive to another service station). In particular, if there are n cars already at the service station, the probability that an arriving customer potential customer will black is n/3 for n 1, 2, 3. The time required to service a car has an exponential distribution with a mean of 4 minutes. (a) Construct the rate diagram for this queueing system.
(b) Develop the balance equations.
(c) Solve these equations to find the steady-state probability distribution of the number of cars at the station. Verify that this solution is the same as that given by the general solution for the birth-and-death process.
(d) Find the expected waiting time (including service) for those cars that stay

Following is a list of various costs incurred in producing replacement automobile parts. with respect to the production and sale of these auto parts, classify each cost as either variable costs, fixed costs, or mixed costs. 1. oil used in manufacturing equipment 2. plastic 3. property taxes, $165,000 per year on factory building and equipment 4. salary of plant manager 5. cost of labor for hourly workers 6. packaging 7. factory cleaning costs, $6,000 per month 8. metal 9. rent on warehouse, $10,000 per month plus $25 per square foot of storage used 10. property insurance premiums, $3,600 per month plus $0.01 for each dollar of property over $1,200,000 11. straight-line depreciation on the production equipment 12. hourly wages of machine operators 13. electricity costs, $0.20 per kilowatt-hour 14. computer chip (purchased from a vendor) 15. pension cost, $1.00 per employee hour on the job

Required information [the following information applies to the questions displayed below.] the following data is provided for garcon company and pepper company. garcon company pepper company beginning finished goods inventory $ 13,800 $ 18,850 beginning work in process inventory 16,700 20,700 beginning raw materials inventory 8,800 13,500 rental cost on factory equipment 28,250 26,650 direct labor 22,400 37,400 ending finished goods inventory 17,300 14,300 ending work in process inventory 23,200 19,400 ending raw materials inventory 5,900 9,600 factory utilities 11,250 15,000 factory supplies used 10,900 5,700 general and administrative expenses 32,500 44,500 indirect labor 2,500 9,880 repairs—factory equipment 4,820 2,150 raw materials purchases 41,500 63,000 selling expenses 54,800 49,000 sales 238,530 317,510 cash 33,000 23,700 factory equipment, net 222,500 124,825 accounts receivable, net 13,400 23,950 required: 1. complete the table to find the cost of goods manufactured for both garcon company and pepper company for the year ended december 31, 2017. 2. complete the table to calculate the cost of goods sold for both garcon company and pepper company for the year ended december 31, 2017.

Assume that all of thurmond company’s sales are credit sales. it has been the practice of thurmond company to provide for uncollectible accounts expense at the rate of one-half of one percent of net credit sales. for the year 20x1 the company had net credit sales of $2,021,000 and the allowance for doubtful accounts account had a credit balance, before adjustments, of $630 as of december 31, 20x1. during 20x2, the following selected transactions occurred: jan. 20 the account of h. scott, a deceased customer who owed $325, was determined to be uncollectible and was therefore written off. mar. 16 informed that a. nettles, a customer, had been declared bankrupt. his account for $898 was written off. apr. 23 the $906 account of j. kenney & sons was written off as uncollectible. aug. 3 wrote off as uncollectible the $750 account of clarke company. oct. 20 wrote off as uncollectible the $1,130 account of g. michael associates. oct. 27 received a check for $325 from the estate of h. scott. this amount had been written off on january 20 of the current year. dec. 20 cater company paid $7,000 of the $7,500 it owed thurmond company. since cater company was going out of business, the $500 balance it still owed was deemed uncollectible and written off. required: prepare journal entries for the december 31, 20x1, and the seven 20x2 transactions on the work sheets provided at the back of this unit. then answer questions 8 and 9 on the answer sheet. t-accounts are also provided for your use in answering these questions. 8. which one of the following entries should have been made on december 31, 20x1?