Based on the following scenario, what is the total cost for the order of the optimal solution? Southeastern University must purchase 1000 dorm bunk beds from up to five vendors (they can chose 1-5 of the vendors). Vendor 1 charges $500 per bed but there delivery is free. Vendor 2 charges $350 per bed plus a total delivery charge of $4,000. Vendor 3 charges $250 per bed plus a total delivery charge of $6,000. Vendor 4 charges $300 per bed plus a total delivery charge of $4,500. Vendor 5 charges $225 per bed plus a total delivery charge of $8,000.  Vendor 1 will sell the university at most 600 beds; vendor 2, at most 900; and vendor 3, at most 400; vendor 4, at most 550, and vendor 5; at most 700. The minimum order from any vendor is 200 beds. Determine how to minimize the costs of purchasing the needed beds.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Based on the following scenario, what is the total cost for the order of the optimal solution?

Southeastern University must purchase 1000 dorm bunk beds from up to five vendors (they can chose 1-5 of the vendors). Vendor 1 charges $500 per bed but there delivery is free. Vendor 2 charges $350 per bed plus a total delivery charge of $4,000. Vendor 3 charges $250 per bed plus a total delivery charge of $6,000. Vendor 4 charges $300 per bed plus a total delivery charge of $4,500. Vendor 5 charges $225 per bed plus a total delivery charge of $8,000.  Vendor 1 will sell the university at most 600 beds; vendor 2, at most 900; and vendor 3, at most 400; vendor 4, at most 550, and vendor 5; at most 700. The minimum order from any vendor is 200 beds. Determine how to minimize the costs of purchasing the needed beds.

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