A grocery is supplied from 3 suppliers Fi(i = 1,2,3) who have: F1 of 5 trucks, F2 of 4 trucks and F3 of 6 trucks. The grocery is planned for a period of time, 12 trucks of goods. The transport from each supplier costs 40 monetary unitsfor F1, 60 monetary units for F2, respectively 50 monetary units for F3. Establish a supply schedule from the three suppliers so that the total cost of transport is as low as possible(minim cost).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A grocery is supplied from 3 suppliers Fi(i = 1,2,3) who have: F1 of 5 trucks, F2 of 4 trucks and F3 of 6 trucks. The grocery is planned for a period of time, 12 trucks of goods. The transport from each supplier costs 40 monetary unitsfor F1, 60 monetary units for F2, respectively 50 monetary units for F3. Establish a supply schedule from the three suppliers so that the total cost of transport is as low as possible(minim cost).

Observation: This is a linear program problem, i need only the mathematical model without solutions for the system, i only need those inequations.

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