SoundsUp, a local amphitheater is getting ready for the upcoming.

SoundsUp, a local amphitheater is getting ready for the upcoming summer concert season. They want to purchase reusable plastic water bottles to sell to concert attendees. Bottles cannot be reused as they will be customized with that week’s artist and date. The expectation for this upcoming concert is an average demand for 3000 bottles with a standard deviation of 600. The bottles sell for $20.00 each and cost SoundsUp $12 per bottle. In the event some bottles are left over after the concert, a local radio station has indicated that they will purchase some of the leftover bottles for $15 per bottle for use in promotions, but they have not committed to any particular number that they will buy. SoundsUp estimates a 5% chance that the radio station will purchase no bottles, a 10% chance they purchase 150, a 40% chance they purchase 175, a 30% chance they purchase 225, and a 15% chance they purchase 275. If SoundsUp has any leftover bottles that are not purchased by the radio station, then will have to pay $5 per bottle as a disposal fee. Compare ordering quantities of 2000 to 4000 in increments of 500, running 1000 iterations of the model