Match List I with List II

Choose the correct answer from the options given below :

A-III, B-I, C-IV, D-II

The correct answer is Option (2) → A-III, B-I, C-IV, D-II

(A) $Z=5x+8y$

$Z(5,0)=5×5+8×0$

$=25$ is minimum value

(B) $Z=3x+4y$

$Z(5,3)_{max}=3×5+4×3=27$

(C) $X=x+5y$

$Z_{max}(4,3)=4+5×3=19$

$Z_{min}(7,0)=7$

$∴Z_{max}+Z_{min}=19+7=26$

(D) $Z=2x+6y$

$Z_{max}(6,9)=2×6+6×9=66$

$Z_{min}(3,0)=2×3+6×0=6$

$Z_{max}-Z_{min}=60$