Milk is stocked at the grocery store each week. At the end of the week unsold milk is reduced in price by 50% of its selling price, and always sells for this lower price instantly. Weekly demand for milk is normally distributed with a mean of 200 gallons and standard deviation of 25 gallons.  Each gallon of milk costs $1.75.  Assuming a service level of 90% and that the store sells the milk for $3 per gallon, how many gallons should the store order this week?

Peter Sagan is in charge of maintaining hospital supplies at Champs Hospital. During the past year the mean weekly demand for a special type of tubing was 186 packages of this tubing with a standard deviation of 13 packages of tubing. The lead time for receiving this tubing from the supplier is 1.5 weeks. Peter would like to maintain a 95% service level and places an order for 750 packages every time an order is placed. d) If the weekly demand is 186 and there is a 1.5 week lead time - what is the reorder point (99%      service level)? e) If the carrying cost per year is $0.50/unit/year - what is the additional cost associate with the      99% service level compared to 95% service level (i.e. cost of safety stock at 99% level - cost of      safety stock at 95% service level)?

ABC Corporation resells one type of candle. It has 250 working days. Each day, it sells an average of 500 boxes but maysometimes sell a maximum of 600 boxes. The supplier takes an average of 5 days to deliver the order. During busier times, thesupplier may take 7 days.Based on ABC’s records, ordering cost average P400 per order. Storage cost per box average P5 per year. There is also anopportunity cost of 1% per year for every peso invested in inventories. Each box of candles costs P450. If ABC would continue its current inventory management policy, it would keep 10,000 boxes as safety stock and order ten-days-worth of inventory. (B) Economic Order Quantity 1. How much would the total inventory related (ordering plus carrying) costs be if the economic order quantity wasfollowed (excluding safety stock)? (D) Cost-Benefit Analysis: If ABC maintains its current inventory policy for the year,1. How much would the entity save it followed the reorder point and economic order quantity models?…

Algro Inc. keeps a wide range of parts and materials on hand for use in its production processes. Management has recently had difficulty managing parts inventory as demand for its finished goods has increased; they frequently run out of some critical parts while having an endless supply of others. They would like to classify their parts inventory according to the ABC approach to better control inventory. The following is a list of parts, along with their annual usage and unit value: Item Annual Unit Item Annual Unit Number Usage Cost Number Usage Cost 1 36 $350 2 510 30 3 50 23 4 300 45 5 18 1900 6 500 8 7 710 4 8 80 26 9 344 28 10 67 440 11 510 2 12 682 35 13 1216 95 50 14 10 3 15 820 1 KARAN2222222222 16 60 $610 17 120 20 18 270 15 19 45 50 20 19 3200 21 910 3 12 4750 23 30 2710 24 24 1800 25 870 105 26 244 30 27 750 15 28 45 110 29 46 160 30 165 25 a. Classify the inventory items according to the ABC approach using the dollar value of annual demand. b. Clearly explain why you…