For the given optimization problem,

What is the optimal $Z$ value?

minimizeZ$=18x_{1A}+15x_{1B}+12x_{1C}+13x_{2A}+10x_{2B}+17x_{2C}+16x_{3A}+14x_{3B}+18x_{3C}$

$+19x_{4A}+15x_{4B}+16x_{4C}+17x_{5A}+19x_{5B}+12x_{5C}+14x_{6A}+16x_{6B}+12x_{6C}$

$+405y_1+390y_2+450y_3+368y_4+520y_5+465y_6$

subject to

$x_{1A}+x_{1B}+x_{1C}-11\mathrm{.}2y_1=0$

$x_{2A}+x_{2B}+x_{2C}-10\mathrm{.}5y_2=0$

$x_{3A}+x_{3B}+x_{3C}-12\mathrm{.}8y_3=0$

$x_{4A}+x_{4B}+x_{4C}-9\mathrm{.}3y_4=0$

$x_{5A}+x_{5B}+x_{5C}-10\mathrm{.}8y_5=0$

$x_{6A}+x_{6B}+x_{6C}-9\mathrm{.}6y_6=0$

$x_{1A}+x_{2A}+x_{3A}+x_{4A}+x_{5A}+x_{6A}=12$

$x_{1B}+x_{2B}+x_{3B}+x_{4B}+x_{5B}+x_{6B}=10$

$x_{1C}+x_{2C}+x_{3C}+x_{4C}+x_{5C}+x_{6C}=14$

$x_{1\text{I}}>0$

$2082\mathrm{.}30$

$1575\mathrm{.}42$

$0$

No Feasible Solution

None of the above