A vending machine dispenses hot chocolate or coffee. Service time is 20 seconds per cup and is constant. Customers arrive at a mean rate of 64 per hour, and this rate is Poisson-distributed.

a. Determine the average number of customers waiting in line. (Round your answer to 2 decimal places.) Average number of customer
b. Determine the average time customers spend in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average time minutes
c. Determine the average number of customers in the system. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Average number customers

The table shows the demand and supply schedules for magazines. complete the following sentences. the equilibrium price of a magazine is $ 4 and the equilibrium quantity is 150 magazines a week. price (dollars per magazine) quantity demanded quantity supplied (magazines per week) 3.00 160 138 3.50 155 144 4.00 150 150 4.50 145 156 5.00 140 161 now a fall in the price of a newspaper decreases the quantity demanded by 11 magazines a week at each price. at the original equilibrium price, a occurs. to return to equilibrium, the price of a magazine a. surplus; rises b. shortage; rises c. shortage; falls d. surplus; falls as the market returns to equilibrium, the quantity demanded and the quantity supplied a. decreases; increases b. decreases; decreases c. increases; decreases d. increases; increases the new equilibrium price is $ nothing a magazine.

The following account balances at the beginning of january were selected from the general ledger of fresh bagel manufacturing​ company: work in process inventory ​$0 raw materials inventory $ 29 comma 000 finished goods inventory $ 40 comma 900 additional​ data: 1. actual manufacturing overhead for january amounted to $ 62 comma 600. 2. total direct labor cost for january was $ 63 comma 600. 3. the predetermined manufacturing overhead rate is based on direct labor cost. the budget for the year called for $ 255 comma 000 of direct labor cost and $ 382 comma 500 of manufacturing overhead costs. 4. the only job unfinished on january 31 was job no.​ 151, for which total direct labor charges were $ 5 comma 700 ​(1 comma 000 direct labor​ hours) and total direct material charges were $ 14 comma 400. 5. cost of direct materials placed in production during january totaled $ 123 comma 300. there were no indirect material requisitions during january. 6. january 31 balance in raw materials inventory was $ 35 comma 200. 7. finished goods inventory balance on january 31 was $ 35 comma 400. what is the cost of goods manufactured for​ january

Garrett is an executive vice president at samm hardware. he researches a proposal by a larger company, maximum hardware, to combine the two companies. by analyzing past performance, conducting focus groups, and interviewing maximum employees, garrett concludes that maximum has poor profit margins, sells shoddy merchandise, and treats customers poorly. what actions should garrett and samm hardware take? a. turn down the acquisition offer and prepare to resist a hostile takeover. b. attempt a friendly merger and use managerial hubris to improve results at maximum. c. welcome the acquisition and use knowledge transfer to impart sam hardware's management practices. d. do nothing; the two companies cannot combine without samm hardware's explicit consent.