Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 5.7, Problem 27P
Summary Introduction
Interpretation:
Total number of replenishments per year, its exchange rate and inventory value.
Concept Introduction:
The exchange curve is to identify a set of system policy parameters which can be varied to alter system performance. Possible parameters include a target stock out probability, or an average time between stock outs, replenishment frequency or unit costs.
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Students have asked these similar questions
Models of inventory systems frequently consider the relationships among a beginning inventory,a production quantity, a demand or sales, and an ending inventory. For a givenproduction period j, letsj-1 = ending inventory from the previous period (beginning inventory for period j)xj = production quantity in period jdj = demand in period jsj = ending inventory for period ja. Write the mathematical relationship or model that shows ending inventory as a functionof beginning inventory, production, and demand.b. What constraint should be added if production capacity for period j is given by Cj?c. What constraint should be added if inventory requirements for period j mandate anending inventory of at least Ij?
Suppose the following item is being managed using a fixed-order quantity model with safety stock.
Annual Demand = 100,000 units
Order quantity = 30,000 units
Safety stock = 4000 units
What are the average inventory level and inventory turnover for this item?
Suppose the demand of a product in a retail store is 800 per year and it occurs at a constant
rate. Placement of an order of this product to an outside supplier by the store is 40 Dollar.
The super market authority has calculated the inventory holding cost per unit per year as
90 cents. Assuming no occurrence of shortages of the product, find
i. the minimal number of orders per year. Explain whether the nearest integer number of
orders per year is justified.
Please answer this part with the explanation part asked in the
question.
Chapter 5 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 5.2 - Prob. 1PCh. 5.2 - Prob. 2PCh. 5.2 - Prob. 4PCh. 5.3 - Prob. 7PCh. 5.3 - Prob. 9PCh. 5.3 - Prob. 12PCh. 5.5 - Prob. 16PCh. 5.5 - Prob. 18PCh. 5.6 - Prob. 21PCh. 5.7 - Prob. 24P
Ch. 5.7 - Prob. 25PCh. 5.7 - Prob. 26PCh. 5.7 - Prob. 27PCh. 5 - Prob. 28APCh. 5 - Prob. 31APCh. 5 - Prob. 32APCh. 5 - Prob. 33APCh. 5 - Prob. 37APCh. 5 - Prob. 38APCh. 5 - Prob. 40APCh. 5 - Prob. 41APCh. 5 - Prob. 43APCh. 5 - Prob. 44APCh. 5 - Prob. 45APCh. 5 - Prob. 46APCh. 5 - Prob. 47APCh. 5 - Prob. 48APCh. 5 - Prob. 49APCh. 5 - Prob. 50APCh. 5 - Prob. 51AP
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- A company incurs an ordering cost of $232 each time it places an order, regardless of the order size. The item's cost is $5, and the annual carrying charge for the item is 30%. If the annual demand for this item is 2,880 and the company's order quantity (Q) is 944, calculate its total annualized cost of inventory. The total annualized inventory costs are $.arrow_forwardpls answer and provide solutionarrow_forwardConsider the company in Question 1. Now the company is considering working with a local supplier. Since the local supplier is located close to the company, there is no restriction on the frequency of the orders. The purchasing cost from this local supplier is $80 per unit. Every time they place an order there is a fixed shipping cost of $12. Holding cost is again based on 20% annual interest rate. Calculate the economic order quantity. Calculate the total annual cost the company will incur with this supplier if they use the order quantity you found in (a) (Total Annual Cost = Annual Ordering Cost + Annual Inventory Holding Cost + Annual Purchasing Cost) The company is also considering producing the product at home. The production rate is 12000 units per year. They estimate that the setup cost is $20 per setup. The production cost is $60 per unit. The holding cost is based on the annual interest rate and the production cost of the product. Calculate the economic production quantity. How…arrow_forward
- You are in the process of deciding the optimal order quantity of shampoo packs for a hotel. The supplier charges you $47 per order and your stockroom costs approximately $0.69 per shampoo pack per year to store the product. Based on prior research, you were able to determine that the hotel goes through approximately 94 shampoo packs per day. They hold 0 safety stock. The supplier is willing to give the following quantity discounts for the product. Using the order quantity that will minimize total cost, what is the total annual cost? Quantity 1 - 1499 $2.25 $2.10 $2.05 $2.03 Note: Round your answer to 2 decimal places. Do NOT include $ sign or a comma. For example, answer like 50246 and NOT $50,246 Answer: 1500 - 3999 4000 - 7999 8000+ Price Checkarrow_forwardConsider the following single-period inventory model (probabilistic demand). The Smith shoe company is currently selling an athletic shoe for the spring and summer months. It does not expect to sell any shoes in the fall, thus it will not sell after July 31. The shoes cost Smith $110 per pair and Smith will sell them retail at a price of $140. During the August sale, the shoes will sell for $70 a pair. The demand for shoes is assumed to be uniformly distributed with the range of demand going from 2,000 pairs to 3,800 pairs. Answer these questions Question 7. What is the value of co? (b) (a) Question 8. What is the value of cu?arrow_forwardA firm faces a demand of 40,000 units per month for one of its lines of stock. The firm’s cost of holding stock is £2 per unit of average stock per month, and it costs the firm a total of £100 every time it orders and acquires a new shipment of stock. The firm is willing to face stock-outs and the cost of such is £6 per unit of average stock-out per month. Assuming the firm attempts to minimise overall inventory-related costs, how large (approximately) will the firm allow its stock-outs to become before each new stock delivery arrives? A. 782 units B. 577 units C. 904 units D. 981 units * Explain in full detailarrow_forward
- A firm faces a demand of 40,000 units per month for one of its lines of stock. The firm's cost of holding stock is £2 per unit of average stock per month, and it costs the firm a total of £100 every time it orders and acquires a new shipment of stock. The firm is willing to face stock-outs and the cost of such is £6 per unit of average stock-out per month. Assuming the firm attempts to minimise overall inventory-related costs, how large (approximately) will the firm allow its stock- outs to become before each new stock delivery arrives? a. 577 units b. 981 units C. 782 units d. 904 unitsarrow_forwardA company would like to classify its inventory systems using ABC inventory classification system. The rules for ABC classification are STRICTLY applied such that 80% cumulative budget is assigned to A class inventory items. The next 15% cumulative budget is assigned to B class inventory items, and Only 5% of the cumulative budget is assigned to C class inventory items. The inventory items (SKU) are XYZ1, XYZ2, XYZ3, and XYZ4 respectively. The Annual demands (units per year) for these items are 290, 457, and 159, and 577 respectively. Also, the corresponding per unit prices are 19, 33, 126, and 90 respectively measured in OMR. Which items (among, XYZ1, XYZ2, XYZ3, and XYZ4) are classified as A class inventory Select one: a. Only XYZ3 b. All items c XYZ1 only d. Both XYZ3 and XYZ4arrow_forwardA company would like to classify its inventory systems using ABC inventory classification system. The rules for ABC classification are STRICTLY applied such that 80% cumulative budget is assigned to A class inventory items. The next 15% cumulative budget is assigned to B class inventory items, and Only 5% of the cumulative budget is assigned to C class inventory items. The inventory items (SKU) are XYZ1, XYZ2, XYZ3, and XYZ4 respectively. The Annual demands (units per year) for these items are 290, 457, and 159. and 577 respectively. Also, the corresponding per unit prices are 19.33.126, and 90 respectively measured in OMR. Which items (among, XYZ1, XYZ2, XYZ3, and XYZ4) are classified as B class inventory Select one: a. XYZ1 b. XYZ2 c XYZ3 d.XYZ3 and XYZ4arrow_forward
- Presented below is information related to Bramble Company. Ending Inventory (End-of-Year Price Date Prices) Index December 31, 2022 $81,000 100 December 31, 2023 121,284 108 December 31, 2024 120,776 124 December 31, 2025 135,742 134 December 31, 2026 163,008 144 December 31, 2027 195,637 149 Compute the ending inventory for Bramble Company for 2022 through 2027 using the dollar-value LIFO method.arrow_forwardConsider a supply chain with a manufacturer (M) and a retailer (R). The manufacturer produces a product A at a cost of c = $50. The manufacturer offers the product to the retailer at a wholesale price of w = $70, and fixes the sale price to p = $90. The market demand is normally distributed with mean of 10,000 units and standard deviation of 1000. Answer the following questions: a. What is the optimal order quantity for the retailer? b. What is the optimal order quantity if the wholesale price is changed to $60? Does the optimal order quantity increase or decrease compared to 1a? Why? c. What is the optimal order quantity if the wholesale price is changed to $80? Does the optimal order quantity increase and decrease compared to 1a? Why? d. If the actual market demand is equal to the mean demand, then what are the profits of the manufacturer and the retailer?arrow_forwardA specialty coffeehouse sells Colombian coffee at a fairly steady rate of 280 pounds annually. The beans are purchased from a local supplier for $2.40 per pound. The coffeehouse estimates that it costs $45 in paperwork and labor to place an order for the coffee, and holding costs are based on a 20 percent annual interest rate. For the situation described above, draw a graph of the amount of inventory on order. Using your graph, determine the average amount of inventory on order. Also compute the demand during the replenishment lead time. How do these two quantities differ?arrow_forward
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