There is only one copying machine in the student lounge of the business school. Students arrive at the rate of λ=50per hour (according to a Poisson distribution). Copying takes an average of 50 seconds, or μ=72 per hour (according to a negative exponential distribution).a) The percentage of time the machine is used = percent (round your response to the nearest wholenumber).

An allergy products superstore buys 6000 of their most popular model of air filters each year. the price of the air filters is $18. the cost of ordering and receiving shipments is $12 per order. accounting estimates annual carrying costs are 20% of the price. the supplier lead time is 2 days. the store operates 240 days per year. each order is received from the supplier in a single delivery. there are no quantity discounts. what is the store’s minimum total annual cost of placing orders & carrying inventory?