A company uses the finite replenishment model to determine the optimal quantity to produce. There are days a year over which demand and production occur. The daily demand is ​, and the production rate is per day. The setup cost for production is ​$ per setup. Assuming that the carrying cost is percent of the​ item's ​$ ​cost, what is the​ length, in​ days, of a production run if the company produces the replenishment quantity that minimizes its​ inventory-related costs?