i will give thumbs up to the one that will answer all the questions

3. UMK Company uses a small casting in one of its finished products. The castings are purchased from a foundry located in another Asian country. In total, UMK Company purchases 54,000 castings per year at a cost of P8 per casting. The castings are used evenly throughout the year in the production process on a 360- day-per-year basis. The company estimates that it costs P90 to place a single purchase order and about P3 to carry one casting in inventory for a year. The high carrying costs result from the need to keep the castings in carefully controlled temperature and humidity conditions, and from the high cost of insurance. Delivery from the foundry generally takes 6 days, but it can take as much as 10 days. The days of delivery time and the percentage of their occurrence are shown in the following tabulation: 1 75 Delivery Time (days) Percentage of Occurrence 6 7 10 8 5 9 5 10 5 100 Required: a. What is the economic order quantity for the company? b. Assuming that the company will not provide any safety stock units, how much would the annual inventory costs? c. Assuming that the company is willing to assume a 15% risk of being out of stock, what would be the number of safety stock? 4. Gumamela Company makes corsages that it sells through salespeople on the streets. Each sells for P2 and has variable production costs of Po.80. The salespeople receive a Po.50 commission on each corsage they sell, and the company must spend P0.05 to get rid of each unsold corsage. The corsages last for only one week and cannot be carried in inventory. The manager of the firm had estimated demand per week and associated probabilities as follows: Demand Probability 100,000 0.20 120,000 0.20 140,000 0.30 160,000 0.30 What is the optimal weekly production of the corsage