Given the following information, formulate an inventory management system. The item is demanded 50 weeks a year. Item cost Order cost Annual holding cost (%) Annual demand Average demand $ 10.00 $ 207.00 24 % of item cost 24,300 486 per week Standard deviation of weekly demand Lead time Service probability 20 per week 3 week(s) 90% a. Determine the order quantity and reorder point. (Use Excel's NORMSINV() function to find your z-value and then round that z- value to 2 decimal places. Do not round any other intermediate calculations. Round your final answers to the nearest whole number.) Optimal order quantity Reorder point 2,047 units 1,502 units b. Determine the annual holding and order costs. (Do not round any intermediate calculations. Round your final answers to 2 decimal places.) Holding cost Ordering cost c. Assume a price break of $60 per order was offered for purchase quantities of 2,100 units per order. If you took advantage of this price break, how much would you save annually? (Do not round any intermediate calculations (including number of setups per year). Round your final answer to 2 decimal places.) Annual savings