Finance Math?

1. 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 3 minutes. It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of one dog every 6 minutes according to a Poisson... show more 1. 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 3 minutes. It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of one dog every 6 minutes according to a Poisson distribution. Also assume that​ Tarun's shooting times are negative exponentially distributed.
a. The probability that Tarun is idle​ ____
b. The proportion of the time that Tarun is
c. The average number of dogs being vaccinated and waiting to be vaccinated =___ dogs
d. The average number of dogs waiting to be vaccinated​ =_____dogs.
e. The average time a dog waits before getting vaccinated​ =____ minutes
f. The average amount of time a dog spends waiting in line and being vaccinated =_______ minutes

2. Barbara Flynn is in charge of maintaining hospital supplies at General Hospital. During the past​ year, the mean lead time demand for bandage​ BX-5 was
75 ​(and was normally​ distributed). Furthermore, the standard deviation for​ BX-5 was 77.
Ms. Flynn would like to maintain a 90 percent service level.
a. What safety stock level do you recommend for​ BX-5? Safety stock=_____ units.
b. What is the appropriate reorder point?
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