A manufacturer of refrigerators must ship at least 100 refrigerators to its two warehouses. Each warehouse holds a maximum of 100 refrigerators. Warehouse A holds 25 refrigerators​ already, while warehouse B has 35 on hand. It costs $13 to ship a refrigerator to warehouse A and $15 to ship one to warehouse B. How many refrigerators should be shipped to each warehouse to minimize​ cost? What is the minimum​ cost?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A manufacturer of refrigerators must ship at least 100 refrigerators to its two warehouses. Each warehouse holds a maximum of 100 refrigerators. Warehouse A holds 25 refrigerators​ already, while warehouse B has 35 on hand. It costs $13 to ship a refrigerator to warehouse A and $15 to ship one to warehouse B. How many refrigerators should be shipped to each warehouse to minimize​ cost? What is the minimum​ cost?

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