Milford Lumber Company ships construction materials from three wood-processing p

Question

Milford Lumber Company ships construction materials from three wood-processing plants to three retail stores. The shipping cost, monthly production capacities, and monthly demand for framing lumber are given below.

Formulate a transportation model to determine the best distribution plan. Find the solution that minimizes total distribution costs. If the constant is equal to one, enter "1".

X11, X12, X13, X21, X22, X23, X31, X32, X33 ? 0

This was posted at 5:55 am but never answered. What additional information is needed?

Plant Store A Store B Store C Capacity 1 $7.3 $6.8 $6.1 610 2 $4.6 $9.0 $8.3 580 3 $8.1 $8.2 $5.8 230 Demand 430 310 620

Explanation / Answer

VARIABLES X11 + X12 + X13 + X21 + X22 + X23 + X31 + X32 + X33 SHIPPING COST 7.3 6.8 6.1 4.6 9 8.3 8.1 8.2 5.8 MIN X117.3 + X126.8 + X136.1 + X214.6 + X229 + X238.3 + X31 8.1 + X328.2 + X335.8 SUBJECT TO THE CONSTRAINTS X11 + X12 + X13 = 620 X11, X12, X13, X21, X22, X23, X31, X32, X33 >0

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