please solve all questions

please solve all questions

2. Weekly demand for paper towels at a Target store is normally distributed, with a mean of 1,000 and a standard deviation of 300. The supplier takes two weeks to supply a Target order, which is for a batch size of 5,000 . Target is aiming for a fill rate of 99 perceat and monitors its inventory continuously. How much safery imentory of paper towels should Target carry? What should its ROP be? 3. Weekly demand for electric motors at a Japanese motor manufacturer is normally distributed, with a mean of 1,000 and a standard deviation of 1,000 . Motors are currently assembled in China and delivered at a cost of 20,000 yen motor. The supplier takes eight weeks to supply an order. A local Japanese manufacturer bas offered to deliver motors with a lead time of one wreek at a cost of 20,400 yen per motor. The motor manufacturer is targeting a CSL of 99 perceat and monitors its inventory continuously. The manufacturer incurs a holding coat of 25 percent Should the manufacturer accept the local supplier 5 offer? 4. Epson produces pristers in its Tawan factory for sale in Europe. Printers sold in different councries differ in terms of the power outlet as well as the language of the manals. Corrently, Epson assembles and packs printers for sale in individual couatries. The distribution of weekly demand in different councries is normally distributed, with means and standard deviations as shown in Table below. Assume demand in different countries to be independent. Given that the lead time from the Taiwan factory is eight weelo, how much safery inveatory does Epson require in Europe if it targets a CSL of 95 percent? Epson decides to buld a central DC in Europe. It will ship base printers (without power supply) to the DC. When an order is received, the DC will assemble power supplies, add manuals, and ship the pristers to the appropriate country. The bare printers are still to be manufactured in Tam an with a lead time of eight weeks. How much saving of safety inventory can Epson expect as a result