Sturdy little donkeys are used to carry corpulent tourists up the Santorini caldera to the town of Fira. One cruise line that routinely docks at the port is considering a plan to maintain their own donkey herd, which will cost them $15,000 per thousand tourists. The number of tourists needing this service is normally distributed, with a mean of 10,000 and a standard deviation of 3,000. Usually, this is enough donkey capacity, but occasionally the cruise line rotates a bigger ship through this route and the excursion director must purchase donkey capacity on the spot market, where is costs $20 per tourist.
The cruise line's insurance policy limits the number of donkeys in their herd to 8,000. What bulk price should the cruise line negotiate to make the 8,000 donkey herd size optimal?
Sturdy little donkeys are used to carry corpulent tourists up the Santorini caldera to the town of Fira. One cruise line that routinely docks at the port is considering a plan to maintain their own do...