The Crandall store begins each week with 260 phasers in stock. This stock is depleted each week and reordered. The carrying cost per phaser is $27 per year and the fixed order cost is $54. What is the current total carrying cost? (Omit $ sign in your response.) Carrying costs 2$ What is the current restocking cost? (Omit $ sign in your response.) Restocking costs 2$ What is the economic order quantity? (Round the answer to the nearest whole number.) EOQ How many orders per year wilI Crandall place under the new policy? (Do not round intermediate calculations. Round the answer to the nearest whole number.) Orders per year times Should Crandall increase or decrease its order size? O Increase O Decrease
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- A product has a reorder point of 110 units and is ordered four times a year on average. The following table shows the historical distribution of demand values observed during lead time. Managers have noted that stockouts occur 30 percent of the time with this policy, and they question whether a change in inventory policy, to include some safety stock, might be an improvement. The managers realize that any safety stock would increase the service level, but they are worried about the increased costs of carrying the safety stock. Currently, stockouts are valued at $20 per unit per occurrence, while inventory carrying costs are $10 per unit per year. Demand Probability 100 0.20 110 0.35 120 0.30 130 0.15 What level of safety stock is best?Skinner’s Fish Market buys fresh Boston bluefish daily for $4.10 per pound and sells it for $5.60 per pound. At the end of each business day, any remaining bluefish is sold to a producer of cat food for $1.60 per pound. Daily demand can be approximated by a uniform distribution between 180 and 350 pounds. The optimal order quantity is pounds (round your response to the nearest integer).At Dot Com, a large retailer of popular books, demand isconstant at 20,400 books per year. The cost of placing anorder to replenish stock is $35, and the annual cost of holdingis $6 per book. Stock is received 5 working days after an orderhas been placed. No backordering is allowed. Assume 250working days a year.a. What is Dot Com’s optimal order quantity?b. What is the optimal number of orders per year?c. What is the optimal interval (in working days) betweenorders?
- Surge Electric uses 4,000 toggle switches a year. Switches are priced as follows: 1 to 499, 90cents each; 500 to 999, 85 cents each; and 1,000 or more, 80 cents each. It costs approximately$30 to prepare an order and receive it, and carrying costs are 40 percent of purchase price perunit on an annual basis. Determine the optimal order quantity and the total annual cost.JAL Trading is a Hong Kong manufacturer of electroniccomponents. During the course of a year it requires container cargo space on ships leaving Hong Kong bound forthe United States, Mexico, South America, and Canada.The company needs 280,000 cubic feet of cargo space annually. The cost of reserving cargo space is $7000 and thecost of holding cargo space is $0.80/ft3. Determine howmuch storage space the company should optimally order,the total cost, and how many times per year it should placean order to reserve spaceHayes electronics assumed with certainty that the ordering cost is $450 per order and the inventory carrying cost is $170 per unit per year. However, the inventory model parameters are frequently only estimates that are subject to some degree of uncertainty. Consider four cases of variation in the model parameters as follows: (a) both ordering cost and carrying cost are 10% less that originally estimated, (b) both ordering cost and carrying cost are 10% higher than originally estimated, (c) ordering cost is 10% higher and carrying cost is 10% lower than originally estimated, and (d) ordering cost is 10% lower and carrying cost is 10% higher than originally estimated. Determine the optimal order quantity and total inventory cost for each of the four cases. Prepare a table with values from all four cases and compare the sensitivity of the model solution to changes in parameter values.
- An online retailer sells 1,500 t-shirts per year. The cost of the t-shirts to the store is $3.00 and the cost of placing an order is $15 per order. It cost $0.60 per t-shirt per year for the retailer to hold the t-shirts. The retailer sells the t-shirts for $9.99. Determine (a) the optimal order quantity, (b) the order frequency (c) the annual holding and setup cost.A manager receives a forecast for next year. Demand is projected to be 600 units for the first half of the year and 920 units for the second half. The monthly holding cost is $2 per unit, and it costs an estimated $55 to process an order. a.Assuming that monthly demand will be level during each of the six-month periods covered by the forecast (e.g., 100 per month for each of the first six months), determine an order size that will minimize the sum of ordering and carrying costs for each of the six-month periods. (Round your answers to the nearest whole number.) Period Order Size 1 – 6 months?_____units 7 – 12 months?_____units b.If the vendor is willing to offer a discount of $10 per order for ordering in multiples of 50 units (e.g., 50, 100, 150), would you advise the manager to take advantage of the offer in either period? If so, what order size would you recommend? (Round intermediate calculations to 2 decimal places.) Period Order Size 1 – 6 months?____ units 7 – 12 months?____…In many respects, the food inventory decision for eachCelebrity cruise matches the single-period inventory modeldescribed in this chapter. Consider the decision about chicken.Suppose that Celebrity purchases chicken in bulk for $0.80 perpound, and any chicken left over after a cruise is donated tolocal food banks. Management estimates that a shortage penaltyof $1.00 per pound is incurred due to lost customer goodwillfrom unsatisfied demand. If chicken demand for a 7-daycruise is normally distributed with a mean of 3,000 pounds anda standard deviation of 200 pounds, how many pounds shouldbe brought onto the ship?
- The Economic Order Quantity (EOQ) model is a classical model used for controlling inventory and satisfying demand. Costs included in the model are holding cost per unit, ordering cost and the cost of goods ordered. The assumptions for that model are that only a single item is considered, that the entire quantity ordered arrives at one time, that the demand for the item is constant over time, and that no shortages are allowed. Suppose we relax the first assumption and allow for multiple items that are independent except for a restriction on the amount of space available to store the products. The following model describes this situation: Let Dj = annual demand for item j Cj = unit cost of item j Sj = cost per order placed for item j i = inventory carrying charge as a percentage of the cost per unit W = the maximum amount of space available for all goods wj = space required for item j The decision variables are Qj, the amount of item j to order. The model is:…The Economic Order Quantity (EOQ) model is a classical model used for controlling inventory and satisfying demand. Costs included in the model are holding cost per unit, ordering cost and the cost of goods ordered. The assumptions for that model are that only a single item is considered, that the entire quantity ordered arrives at one time, that the demand for the item is constant over time, and that no shortages are allowed. Suppose we relax the first assumption and allow for multiple items that are independent except for a restriction on the amount of space available to store the products. The following model describes this situation: Let Dj = annual demand for item j Cj = unit cost of item j Sj = cost per order placed for item j i = inventory carrying charge as a percentage of the cost per unit W = the maximum amount of space available for all goods wj = space required for item j The decision variables are Qj, the amount of item j to order. The model is: (view…The Economic Order Quantity (EOQ) model is a classical model used for controlling inventory and satisfying demand. Costs included in the model are holding cost per unit, ordering cost, and the cost of goods ordered. The assumptions for that model are that only a single item is considered, that the entire quantity ordered arrives at one time, that the demand for the item is constant over time, and that no shortages are allowed. Suppose we relax the first assumption and allow for multiple items that are independent except for a restriction on the amount of space available to store the products. The following model describes this situation: Let Dj = annual demand for item j Cj = unit cost of item j Sj = cost per order placed for item j i = inventory carrying charge as a percentage of the cost per unit W = the maximum amount of space available for all goods wj = space required for item j The decision variables are Qj , the amount of item j to order. The model is: In…