Assignment Problems (28 points in total):
1. Ray’s Satellite Emporium wishes to determine the best order size for its bestselling 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 continuousreview 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)