(a) (b) (a) (a) (a) (a) (a) (b) (b) (b) (a) (d) - - Miscellaneous Problems . . . .
b yx = . , Y = . . OPERATIONS RESEARCH Exercise: .
. Maximize Z subject to constraints ≤ ; x £ £ ; and x x ³ . Maximize Z subject to constraints 12000 ≤ ≤ ≤ ; and x , x ≥ . .
Maximize subject to constraints . x ≤ ≤ . ; ; x ≤ and x , x ≥ . .(i) x = ; x = and Z max = (ii) x = ; x = and Z max = (iii) x = ; x = and Z min = (iv) x = ; x = and Z max = (v) x = ; x = and Z max = (vi) x = ; x = and Z min = Exercise: .
. G F E H D - - Answers . . F E D G .
H E D G I F J K . H J E= L= E= L= E= L= E= L= E= L= E= L= E= L= E= L= Critical path - - - - and the duration is weeks - - . E= L= E= L= E= L= E= L= E= L= E= L= E= L= E= L= E= L= E= L= Critical path - - - - - and duration time units . E = L = E = L = E = L = E = L = E = L