1. Potential customers arrive at a full-service, two-pump gas station according to a Poisson process with rate 20 cars per hour. However, customers will only enter the station for gas if there are less than three cars at the two pumps. Suppose the amount of time required to service a car is exponentially distributed with a mean of five minutes. (a) What fraction of the attendant’s time will be spent servicing cars?

(b) What fraction of potential customers are lost?

Anderson, a computer engineer, and spouse, who is unemployed, provide more than half of the support for their child, age 23, who is a full-time student and who earns $7,000. they also provide more than half of the support for their older child, age 33, who earns $2,000 during the year. how many dependents may the andersons claim on their joint tax return?

Auniversity spent $1.8 million to install solar panels atop a parking garage. these panels will have a capacity of 400 kilowatts (kw) and have a life expectancy of 20 years. suppose that the discount rate is 20%, that electricity can be purchased at $0.10 per kilowatt-hour (kwh), and that the marginal cost of electricity production using the solar panels is zero. hint: it may be easier to think of the present value of operating the solar panels for 1 hour per year first. approximately how many hours per year will the solar panels need to operate to enable this project to break even? a. a.3,696.48 b.14,785.92 c.9,241.20 if the solar panels can operate only for 8,317 hours a year at maximum, the project (would/would not)break even?

Wren pork company uses the value basis of allocating joint costs in its production of pork products. relevant information for the current period follows: product pounds price/lb. loin chops 3,000 $ 5.00 ground 10,000 2.00 ribs 4,000 4.75 bacon 6,000 3.50 the total joint cost for the current period was $43,000. how much of this cost should wren pork allocate to loin chops?