An oil company ships to three different customers. Customer A requires 60 tons per year, Customer B requires 24 tons, and Customer C requires 8 tons. The product costs $10,000 per ton, and holding costs are estimated at 25%. Each truck costs $800 to send as a fixed cost and incurs an additional $250 charge for each stop it makes. Each truck can haul 12 tons of the product. What is the optimal delivery policy if the oil company ships to each customer individually? What is the optimal delivery policy if the oil company aggregates all shipments to the customers?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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An oil company ships to three different customers. Customer A requires 60 tons per year, Customer B requires 24 tons, and Customer C requires 8 tons. The product costs $10,000 per ton, and holding costs are estimated at 25%. Each truck costs $800 to send as a fixed cost and incurs an additional $250 charge for each stop it makes. Each truck can haul 12 tons of the product. What is the optimal delivery policy if the oil company ships to each customer individually? What is the optimal delivery policy if the oil company aggregates all shipments to the customers?

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