1. Rays Satellite Emporium wishes to determine the best order size for its best-selling satellite dish. Ray has estimated the annual demand for this model at 5,000 units. His cost to carry one unit is $80 per year per unit, and he has estimated that each order costs $20 to place. Using the EOQ model, how many should Ray order? Please provide the formula, at least one step of calculation, and the correct order size for full credit. (6 points) 2. Given the following information, formulate a continuous-review inventory management system. The item is demanded 50 weeks a year. Item cost $20 Standard deviation of weekly demand Order cost $250 25 per week Annual holding cost (%) 10% of item cost Lead time 1 week Annual demand 25,000 Service probability 95% Average demand 500 per week Compute the order quantity and reorder point. (14 points) For order quantity, please provide the formula, at least one step of calculation, and the correct value for full credit. For reorder point, please provide the formula, at least one step of calculation, the correct z value, and the correct answer for full credit. 3. A company needs to establish kanbans to feed a new work cell. The following data have been provided. Weekly demand 800 units Production lead time 1 week Container size 40 units Smoothing factor 1.3 (a) How many kanbans are needed? Please provide at least one step of calculation and the correct answer for full credit. (4 points) (b) How many containers are needed? Please provide at least one step of calculation and the correct answer for full credit. (4 points)