can you please

show the work on how to solve 22d and 23c??

23. (10 points) A steel rolling mill can produce l-beams at the rate of 60,000 tons per year. Annual customer demand for the beams is 30,000. For each production run of I-beams, the mill must go through a setup that costs $20,000. I-beams cost the mill $3000 per ton, and the mill has an annual holding cost of 20%. a. What is the optimal production batch size for I-beams? Optimal production batch size = 2 000 b. With the batch size you found in part a, find the following quantities. Average inventory level = 5 00 Number of setups per year = 15 Annual Inventory Cost = $300 000 Annual Setup Cost = $300000 Total (setup + holding) Cost = $600000 c. Management has decided that they do not like the production batch size you found in part a. Instead, they would like to use a production batch size of 1600. What would the setup cost need to be in order to make the optimal batch size equal to 1600? $200 Setup cost to make 1600 the optimal lot size: Points on This Page 22. (10 points) Weekly demand for gaming consoles at Liverpool, a Mexican department store chain, is normally distributed with a mean of 1000 and a standard deviation of 400. Replenishment lead time is 4 weeks, and they use a periodic review policy where an order is placed every 12 weeks. a. To achieve a CSL of 67%, how much safety stock should Liverpool maintain? Safety stock for 67% CSL = 704 b. What order-up-to level should Liverpool use to achieve a CSL of 67%? Order-up-to level for 67% CSL = 16704 c. Suppose that Liverpool uses the recommended order-up-to level that you found above. If today is an order day and they currently have 2000 consoles in stock, how many consoles should be ordered? Number of consoles to order = 14704 d. A manager just returned from a supply chain conference, and she advocates switching to a continuous review policy. If Liverpool has the same lead time (4 weeks) and CSL (67%) as above, how much safety stock would be required if they switch to a continuous review policy? Safety stock for 67% CSL using continuous review = iew: 352 5 Points on This Page /10