A refiner in city Q serves four customers near city W and maintains consignment inventory (owned by the refiner) at each location. Currently, the refiner uses TL (truckload) transportation to deliver separately to each customer. Each truck costs $(740) plus $(309) per stop. The refiner is considering aggregating deliveries to city W on a single truck. The demand of the first customer is 75 tons a year, the demand of the second customer is 30 tons per year, and the demand of the third and fourth customers is 10 tons per year. The product cost is $8,000 per ton, and it uses a holding cost of (24)%. The truck capacity is 20 tons. a. What is the optimal delivery policy to each customer if the refiner ships separately to each of them? What is the annual total inventory-related cost? b. What is the optimal delivery policy to each customer if the refiner aggregates shipments to each of the four customers on every truck that goes to city W? What is the annual total inventory. related cost? c. What is the annual total inventory-related cost if the refiner ships a full truckload each time a customer is running out of stock? How many days of inventory are carried at each customer under this policy Q
A refiner in city Q serves four customers near city W and maintains consignment inventory (owned by the refiner) at each location. Currently, the refiner uses TL (truckload) transportation to deliver separately to each customer. Each truck costs $(740) plus $(309) per stop. The refiner is considering aggregating deliveries to city W on a single truck. The demand of the first customer is 75 tons a year, the demand of the second customer is 30 tons per year, and the demand of the third and fourth customers is 10 tons per year. The product cost is $8,000 per ton, and it uses a holding cost of (24)%. The truck capacity is 20 tons. a. What is the optimal delivery policy to each customer if the refiner ships separately to each of them? What is the annual total inventory-related cost? b. What is the optimal delivery policy to each customer if the refiner aggregates shipments to each of the four customers on every truck that goes to city W? What is the annual total inventory. related cost? c. What is the annual total inventory-related cost if the refiner ships a full truckload each time a customer is running out of stock? How many days of inventory are carried at each customer under this policy Q
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter11: Simulation Models
Section11.4: Marketing Models
Problem 30P: Seas Beginning sells clothing by mail order. An important question is when to strike a customer from...
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A refiner in city Q serves four customers near city W and maintains consignment inventory (owned by the refiner) at each location. Currently, the refiner uses TL (truckload) transportation to deliver separately to each customer. Each truck costs $(740) plus $(309) per stop. The refiner is considering aggregating deliveries to city W on a single truck. The demand of the first customer is 75 tons a year, the demand of the second customer is 30 tons per year, and the demand of the third and fourth customers is 10 tons per year. The product cost is $8,000 per ton, and it uses a holding cost of
(24)%. The truck capacity is 20 tons.
a. What is the optimal delivery policy to each customer if the refiner ships separately to each of them? What is the annual total inventory-related cost?
b. What is the optimal delivery policy to each customer if the refiner aggregates shipments to each of the four customers on every truck that goes to city W? What is the annual total inventory. related cost?
c. What is the annual total inventory-related cost if the refiner ships a full truckload each time a customer is running out of stock? How many days of inventory are carried at each customer under this policy
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