Plants A, B, C, and D produce the same item that is demanded by customers W, X, Y, and Z. Customer
demand and plant capacity are shown in the bottom row and rightmost column in the table. The cost to
ship one unit between each combination of plants and customers is also shown in the table. The
corporation wishes to minimize the total transportation costs of this assignment problem. Use the table to
answer the following question(s).
5) What is a suitable constraint?
A) Minimize Cost = $3∗ SAW + $6∗ SAX + $4∗ SAY + $2∗ SAZ
B) Minimize Cost = $3∗ SAW + $7∗ SBW + $10∗ Scw + $12∗ SDW
C) SAW + SBW + SCW + SDW ≤ 25,000
D) SAW + SAX + SAY + SAZ ≤ 22,000
6) Which of these is part of an appropriate objective function?
A) $12∗ DW + $15∗ DX + $13∗ DY + $11∗ DZ
B) –$3∗ AW – $7∗ BW – $10∗ CW – $12∗ DW
C) CW + CX + CY + CZ = 14,000
D) CW + CX + CY + CZ ≤ 14,000