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Data on Cost, Demand, and Supply for a Balanced (Total Xij\mathrm{X}_{i j}

Question 34

Multiple Choice

Data on cost, demand, and supply for a balanced (total supply equals total demand) transportation problem is given in the table below. In the linear programming formulation of this transportation problem with Xij\mathrm{X}_{i j} denoting the amount shipped from supply point ii ( 1 or 2 ) to demand point j(1,2j(1,2 or 3 ) , the correct objective function is
 Data on cost, demand, and supply for a balanced (total supply equals total demand)  transportation problem is given in the table below. In the linear programming formulation of this transportation problem with  \mathrm{X}_{i j}  denoting the amount shipped from supply point  i  ( 1 or 2 )  to demand point  j(1,2  or 3 ) , the correct objective function is   A)   \operatorname{Max}: 5 X_{11}+6 X_{12}+3 X_{13}+7 X_{21}+2 X_{22}+5 X_{23}  B)   \operatorname{Min}: 5 X_{11}+6 X_{12}+3 X_{13}+7 X_{21}+2 X_{22}+5 X_{23}  C)   \operatorname{Max}: X_{11}+X_{12}+X_{13}+X_{21}+X_{22}+X_{23}  D)   \operatorname{Min}: X_{11}+X_{12}+X_{13}+X_{21}+X_{22}+X_{23}


A) Max:5X11+6X12+3X13+7X21+2X22+5X23\operatorname{Max}: 5 X_{11}+6 X_{12}+3 X_{13}+7 X_{21}+2 X_{22}+5 X_{23}
B) Min:5X11+6X12+3X13+7X21+2X22+5X23\operatorname{Min}: 5 X_{11}+6 X_{12}+3 X_{13}+7 X_{21}+2 X_{22}+5 X_{23}
C) Max:X11+X12+X13+X21+X22+X23\operatorname{Max}: X_{11}+X_{12}+X_{13}+X_{21}+X_{22}+X_{23}
D) Min:X11+X12+X13+X21+X22+X23\operatorname{Min}: X_{11}+X_{12}+X_{13}+X_{21}+X_{22}+X_{23}

Correct Answer:

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