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

\operatorname{Max}: 5 X_{11}+6 X_{12}+3 X_{13}+7 X_{21}+2 X_{22}+5 X_{23}

\operatorname{Min}: 5 X_{11}+6 X_{12}+3 X_{13}+7 X_{21}+2 X_{22}+5 X_{23}

\operatorname{Max}: X_{11}+X_{12}+X_{13}+X_{21}+X_{22}+X_{23}

\operatorname{Min}: X_{11}+X_{12}+X_{13}+X_{21}+X_{22}+X_{23}

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