The Blast company prices GC game consoles at $700 per unit. GameCore sells the GC's at $875. Annual demand at this retail price turns out to be 200,000 units. GameCore incurs ordering, receiving, and transportation costs of $18,000 for each lot of GC's ordered. The annual holding cost used by the retailer is 12 percent. A. (5 points) What is the optimal lot size that GameCore should order? B. (5 points) The Blast company has discounted GC's by $50 for the short term (about the next two weeks). Game Core has decided not to change the retail price but may change the lot size ordered from Blast. How should GameCore adjust its lot size given this discount? How much does the lat size increase because of the discount? Assuming there are 50 weeks in a year, weekly demand for GC game consoles is normally distributed. with a mean of 4000 and a standard deviation of 350 . The store manager continuously monitors inventory and currently orders 10,000 printers each time the inventory drops to 12,500 printers. Blast: currently takes 3 weeks to fill an order. C. (5 points) How much safety inventory does the store carry? What CSL does Game Core achieve as a result of this policy? What fill rate does the store achieve? D. (5 points)Assume that the supply lead time from Blast is normally distributed, with a mean of 3 weeks and a standard deviation of 2 weeks. How much safety inventory should Game Core carry if they want to provide a CSL of 95 percent? A. (3 points) Use 3 and 4-month moving average on all the data and plot the averages and the prices. B. (3 points) Use 3 and 4-month weighted moving average on all the data and plot the averages and the prices. (0.5,0.3,0.2 for 3 month; and 0.4,0.2,0.2, and 0,2 for 4 month) C. (3 points) Compute the forecasts for each month using exponential smoothing, with an initial forecast for January of $2.30. Use a=.1, then a=.3, and finally a=.5. D. (3 points) Compute the forecasts for each month using trend adjusting exponential smoothing, with an initial forecast for January of $2.30 and trend $0.25. Use =.3, and =.4. E. (3 points) Develop a regression relationship. F. (5 points) Compare forecasting methods using MAD, MSE, and MAPE. HINT: ExcelOM calculates all formulas for you if you just plug in the numbers! Lenovo uses the ZX-81 chip in some of its laptop computers. The prices for the chip during the pas