Given the following information, formulate an inventory management system. The item is demanded 50 week a year. Item cost Order cost $12.00 $300.00 Annual holding cost (6) Annual demand Average demand 525 per week Standard deviation of 30 per week weekly demand Lead time 2 week Service probability 95% 25 % of item cost 26,250 Formulas for inventory control are provided below. Inventory control Single period model. Cumulative probability of not selling the last unit. Ratio of marginal cost of underestimating demand and marginal cost of overestimating demand S G O model. Optimal or economic order quantity, 205 C-model. Total annual cost for an order a per unit cost , setup costs, and per-unit holding cost Il. T + 9 2 (model. Rcorder point based on average daily demand and lead time in days Rd C-model Rooder point providing a utty stock ofron XL- Average daily demand over a pened of a days Standard devon Dalam period of days Standard deviation of a series of independent demands 12 13 14 13 1 Oodel Sately stock calon model modernity in ito pero del Sloty Calculation ES demands on the bed 13