Assume that both products are purchased from a supplier, and there is a $200 transactioncost for each
Question:
Assume that both products are purchased from a supplier, and there is a $200 transactioncost for each order. This cost is the same for either product. Holding cost for inventory ofthe item is dependent on the value of the product, and it is estimated to 5% of the unit costfor Product A and 1% of the unit cost for Product B. The full-price paid to the supplier is$53/unit for Product A and $2/unit for Product B. In other words, Product B is a muchcheaper product than Product A. Assume that demand for the products occur steadilythroughout the year but the monthly forecasts in the embedded spreadsheet show the levelof expected sales in a month. The average lead time of supply, counted as the time betweenwhen an order is placed to the supplier to the time when the company receives the order, is6 days. Assume that the lead time is the same for both products.
Product A | ||||||||||||
Year | Jan | Feb | Mar | Apr | May | June | July | Aug | Sept | Oct | Nov | Dec |
1 | 850 | 884 | 2089 | 1650 | 1194 | 197 | 807 | 853 | 467 | 1384 | 552 | 697 |
2 | 900 | 1000 | 2200 | 1500 | 1200 | 200 | 900 | 900 | 500 | 1400 | 500 | 700 |
3 | 900 | 1200 | 1800 | 1500 | 1100 | 300 | 1000 | 800 | 400 | 1300 | 550 | 670 |
Product B | ||||||||||||
Year | Jan | Feb | Mar | Apr | May | June | July | Aug | Sept | Oct | Nov | Dec |
1 | 3000 | 2800 | 2920 | 2100 | 2850 | 2800 | 2950 | 2800 | 2900 | 2900 | 2950 | 3200 |
2 | 4000 | 2900 | 3000 | 2000 | 3000 | 3000 | 3000 | 2700 | 2500 | 3200 | 3000 | 3000 |
3 | 2500 | 3000 | 2700 | 2000 | 3200 | 3000 | 2500 | 2600 | 2400 | 3300 | 3300 | 3500 |
Given:
C0=200
Carrying Cost Product A= 5%
Carrying Cost Product B= 1%
Cost of Product A= $53
Cost of Product B= $2
Part A
CoursHeroTranscribedTextIntroduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman