In the following scenario, what will your stockout costs be if you have 200 hammers in stock and you have orders of 80, 60, 50, 30, 120 You are a wholesaler selling hammers. You have a carrying cost for each hammer left in inventory of $.30 per unit, ordering cost of $60 per order placed, and a stockout cost of $30 per customer who is not fully satisfied and $3 per hammer for any orders not fulfilled (lost sales). Orders placed arrive in the sixth week after the week in which the order is placed. Smallest orders are filled first. $480 $1,080 $660 $450 $300
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- Demand for a product is relatively constant at 5 units per day. Lead time for this product is normally distributed with a mean of 20 days and a standard deviation of 4 days. (a) What reorder point provides an 80 percent service level? (b) What reorder point provides a 90 percent service level? (c) If the lead time standard deviation can be reduced from 4 days to 1, what reorder point now provides 90 percent service? How much is safety stock reduced by this change?A golf specialty wholesaler operates 50 weeks per year. Management is trying to determine an inventory policy for its 1-irons, which have the following characteristics: > Demand (D) = 2,000 units/year > Demand is normally distributed > Standard deviation of weekly demand = 2 units > Ordering cost = $30/order > Annual holding cost (H) = $5.00/unit > Desired cycle-service level = 85% > Lead time (L) = 4 weeks Refer to the standard normal table for z-values. a. If the company uses a periodic review system, P should be 3.87 weeks. (Enter your response rounded to the nearest whole number.) T should be units. (Enter your response rounded to the nearest whole number.)A retail outlet sells a seasonal product for $10 per unit. The cost of the product is $8 per unit. All units not sold during the regular season for half the retail price in an end-of-season clearance sale. Assume that the demand for the product is uniformly distributed between 200 and 800. a. What is the recommended ordering quantity? b. What is the probability of a stockout using your order quantity in (a)? c. To keep customers happy and returning to the store later, the owner feels that stockouts should be avoided if at all possible. What is your recommended order quantity if the owner is willing to tolerate a 0.15 probability of stockout? d. Using your answer to (c), what is the goodwill cost you are assigning to a stockout?
- The company uses cooking oil in its business. The usage of cooking oil is normally distributed with an average of 30 gallons per week and a standard deviation of four gallons per week. The manager asked you to help him decide how to reorder cooking oil in order to achieve a service level of 97.5 percent . Lead time is nine days. a) If cooking oil can be ordered as needed, what reorder point should be used? Answer in 2 decimal places.b) If a fixed interval of 20 days is specified, how much safety stock should the company carry. Answer in 2 decimal places.Daily demand for product sample kits is normally distributed with a mean of 35 units and a standard deviation of 4. Supply is virtually certain with a lead time of 9 days. The cost of placing an order is $20, and annual carrying costs for one kit is 25 percent. The price of one kit is $12.50. Assume a year has 365 days.If a 99% service level is desired, what is average inventory on hand? If demand had no variation, what would the reorder point be?Thompson Paint Company uses 60,000 gallons of pigment per year. The cost of ordering pigment is $200 per order, and the cost of carrying the pigment in inventory is $1 per gallon per year. The firm uses pigment at a constant rate every day throughout the year. a. Calculate the EOQ. b. If it takes 20 days to receive an order once it has been placed, determine the reorder point in terms of gallons of pigment. (Note: Use a 365-day year.)
- Inventory Management Reorder The ToyWorld company produces toys out of plastic ordered from an outside supplier. ToyWorld's daily demand for plastic is normally distributed with a mean of 7,800 pounds and a standard deviation of 1,050 pounds. Lead time is 16 days. (Use the Formula Sheet Z table to determine Z values.) What is the service level if ToyWorld reorders when the plastic inventory reaches 134,586 pounds?Explain the stochastic inventory models ? When are they used ?A natural food store carries a brand of coffee called World’s Greatest Coffee. The following data should be used in your calculations. Demand/Sales = 10 cases of coffee per week (you will need to convert this to an annual amount) Ordering Cost = $12 per order Carrying Charge = 18% per year Unit Cost = $75 per case 1. What is the annual cost or ordering the coffee? What is the annual cost of carrying the coffee? And what is the total cost (ordering and carrying costs added together)?2. Name three reasons or factors that might cause the firm to order a larger or smaller amount than the EOQ.
- H & K Electronic Warehouse sells a 12-pack of AAA batteries, and this is a very popular item. Demand for this is normally distributed, with an average of 50 packs per day and a standard deviation of 16. The average delivery time is 5 days, with a standard deviation of 2 days. Delivery time has been found to be normally distributed. A 96% service level is desired. What is the standard deviation of demand during the lead time? How much safety stock should be carried, and what should be the reorder pointI need a detailed explanation on how to solve this problem: A paint shop implements an inventory policy on its stock of white paint, which costs the store $6 per can. Monthly demand for cans of white paint is normal with mean 28 and standard deviation 8. The replenishment lead time is 14 weeks. Excess demand is backordered, but costs $10 per back ordered can in labor and loss of goodwill. There is a fixed cost of $15 per order, and the holding cost is based on 30% interest rate per annum. In your computations, assume 4 weeks per month. - Write down the model name and parameters. - What are the optimal lot size and reorder points for white paint (include the formulas)? - What is the optimal safety stock (include the formula)? *** Suppose the paint shop from the above problem adopts a service level policy. - What are the optimal lot size and reorder points for white paint, such that 90% of the cycles are filled without backordering (include all formulas)? - What is the fill rate…Kabel Market store sells electric cable. The demand for cable is normally distributed. The inventory related information at Kabel Market is as follows: Average Annual Demand = 16,900 meters Standard deviation of weekly demand = 28 meters Cable selling price = AMD 640.00 per meter Ordering cost = AMD 1,250.00 per order Lead time = 5 weeks Annual inventory-holding cost estimate = 2.5% of the cable selling price Required service level = 95% Kabel Market works 52 weeks a year. Note: The approximate z values are: for 0.9 ≈ 1.28, for 0.92 ≈ 1.405, for 0.95 ≈ 1.645, for 0.98 ≈ 2.05. Suppose the bar management practices the fixed-QUANTITY ordering system with the use of the economic order quantity. Answer the following questions: (i) How many meters of cable they order from the supplier each time? (ii) When do they place an order? (iii) What is the safety stock?