Please answer d,e,f

3. (28 marks) Joel is a local wine maker who sells his wine internationally; he purchases bottles for his facility from a supplier in Ontario. He operates his facility 250 days a year and demand for the bottles is 600 per day. Joel's ordering costs are $75 per order and holding costs for the bottles are $2.50 per bottle. a) (7 marks) What is the optimal order quantity and the total annual inventory cost at this order quantity? How often would he place orders using the optimal quantity? b) (5 marks) Joel currently places orders for 600 bottles at a time. At this quantity, how often does he have to place orders? How much more is it costing him per year by using this order size? c) (1 mark) What would you recommend Joel to do (re ordering bottles)? Joel is planning his production schedule for bottling a new wine, Mellow Merlot. He has a capacity to produce 1000 bottles per day; experience indicates that demand for the wine will average 600 bottles per day. Setup costs of the bottling machinery are $150 and holding costs for the finished bottle is $5 per bottle. Joel's facility operates 250 days a year. d) (8 marks) What is the optimal production quantity and the total annual cost at this quantity for the Mellow Merlot? e) (3 marks) What is the length of a production run and a cycle run for the Mellow Merlot? f) (4 marks) Joel would like to utilize the production facility for bottling another product, the Subtle Shiraz, as well. If it takes half a day for set up and two and a half days for production, can the Subtle Shiraz be bottled at the facility (when they are not bottling the Mellow Merlot)