In: Statistics and Probability
A wholesaler has 2500 last year model electric scooters already in stock. It can order some more for the upcoming end-of-year sale. To make an order it costs $10,000 plus $150 for every scooter ordered. The price for which the wholesaler can sell to stores is $250. The total demand is estimated to have an exponential distribution with a mean of 8000. The scooters not sold to stores by the end of November can be later sold to discount stores for $100 each. How many scooters should the wholesaler order under these conditions?