Shire Health Clinic needs to order influenza vaccines for the upcoming flu season. The clinic charges its patients (or their insurance) $15 per vaccination dose and each dose costs $4 to purchase. The Center for Disease Control has a long-standing policy of buying back unused vaccine for $1 per dose (so if extra inventory remains, it will be sent to salvaged for $1 per dose). The clinic estimates that for the upcoming season its demand will follow a normal distribution and will have a mean (expected) value of 6500 and a standard deviation of 1600. How many doses should the clinic order to maximize its expected profit? Round your answer to the nearest integer