Dr. tarun gupta, a michigan vet, is running a rabies vaccination clinic for dogs at the local grade school. tarun can shoot a dog every 4 minutes. it is estimated that the dogs will arrive independently and randomly throughout the day at a rate of one dog every 5 minutes according to a poisson distribution. also assume that taruna's shooting times are exponentially distributed. compute the following: a) the probability that tarun is idle. b) the proportion of the time that tarun is busy. c) the average number of dogs being vaccinated and waiting to be vaccinated. d) the average number of dogs waiting to be vaccinated. e) the average time a dog waits before getting vaccinated. f) the average amount of time a dog spends waiting in line and being vaccinated.

Guardian inc. is trying to develop an asset-financing plan. the firm has $450,000 in temporary current assets and $350,000 in permanent current assets. guardian also has $550,000 in fixed assets. assume a tax rate of 40 percent. a. construct two alternative financing plans for guardian. one of the plans should be conservative, with 70 percent of assets financed by long-term sources, and the other should be aggressive, with only 56.25 percent of assets financed by long-term sources. the current interest rate is 12 percent on long-term funds and 7 percent on short-term financing. compute the annual interest payments under each plan.

Areal estate agent is considering changing her cell phone plan. there are three plans to choose from, all of which involve a monthly service charge of $20. plan a has a cost of $.42 a minute for daytime calls and $.17 a minute for evening calls. plan b has a charge of $.52 a minute for daytime calls and $.15 a minute for evening calls. plan c has a flat rate of $80 with 275 minutes of calls allowed per month and a charge of $.38 per minute beyond that, day or evening.a. determine the total charge under each plan for this case: 150 minutes of day calls and 70 minutes of evening calls in a month. (do not round intermediate calculations. round your answer to 2 decimal places. omit the "$" sign in your response.)c. if the agent will use the service for daytime calls, over what range of call minutes will each plan be optimal? (round each answer to the nearest whole number.include the indifference point itself in each answer.)d. suppose that the agent expects both daytime and evening calls. at what point (i.e., percentage of total call minutes used for daytime calls) would she be indifferent between plans a and b?

Kevin and jenny, who are both working full-time, have three children all under the age of ten. the two youngest children, who are three and five years old, attended eastside pre-school for a total cost of $3,000. ervin, who is nine, attended big kid daycare after school at a cost of $2,000. jenny has earned income of $15,000 and kevin earns $14,000. what amount of childcare expenses should be used to determine the child and dependent care credit?