In all the excitement of waving to the longshoremen as the ship leaves the Port of New Orleans, the management scientist drops his wallet in the Mississippi River. Rather than maximize enjoyment for the three excursions,
he must now adjust his model to select three inexpensive options. Which combinations of objective function and constraints are best if the scheme of location (J, C, or G) and excursion (S, P, H, L, Te or Tu) is used to represent the decision variables?
A) Min Z = 100JS + 95JP + 120JH + 60JL + 110CS + 55CP + 70CH + 90CL + 130CTe + 90GS + 60GP + 110GH + 130GL + 95GTu
subject to:
JS + JP + JH + JL = 1
CS + CP + CH + CL + CTe = 1
GS + GP + GH + GL + GTu = 1
B) Min Z = 100JS + 95JP + 120JH + 60JL + 110CS + 55CP + 70CH + 90CL + 130CTe + 90GS + 60GP + 110GH + 130GL + 95GTu
subject to:
JS + JP + JH + JL ? 1
CS + CP + CH + CL + CTe ? 1
GS + GP + GH + GL + GTu ? 1
C) Min Z = 100JS + 95JP + 120JH + 60JL + 110CS + 55CP + 70CH + 90CL + 130CTe + 90GS + 60GP + 110GH + 130GL + 95GTu
JS + CS + GS ?1
JP + CP + GP ?1
JH + CH + GH ?1
JL + CL + GL ?1
D) Min Z = 100JS + 95JP + 120JH + 60JL + 110CS + 55CP + 70CH + 90CL + 130CTe + 90GS + 60GP + 110GH + 130GL + 95GTu
JS + JP + JH + JL + CS + CP + CH + CL + CTe + GS + GP + GH + GL + GTu = 3
Answer: A
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