Question

operations research

Q1: The magical wand is an essential object for the wizarding school. The parameter table below shows the supply and demand of magical wand, and the cost to ship a magical wand from each supplier to each wizarding academy. Durmstrang Hogwarts School of Witchcraft and Wizardry 2 Beauxbatons Academy of Magic 5 Institute 3 20 2 3 4 30 Fluorish and Blotts Gambol and Japes Dervish and Banges Zonko's Joke Shop 4 5 30 3 5 20 35 25 20 a) Use the Northwest Corner Rule to construct an initial Basic Feasible Solution. You may use the boxes below to document your solution. b) Use the Vogel's Approximation Method to construct another initial Basic Feasible Solution.

Answer 1

Porth west looner method 3 20 go 13 0 IS 15 4 5 26 15 yodo - 20 10 X 3 0 20 X Х 20 Jo go Fictiotius coturn 15 to Dummy lokumn Intial basis feasib te sodation 2x20+ 2x15 + 3x15 tuxlot 582o to xao to +30 + 45+ 4ot 100 to 255

Vogel's Abbroximation Penality 5 3 O ao 3 ų 20 8 X 10 ol u 15 X 30 X o 3 5 15. X 2015 ra 35% to I Penelity 0 x L Initial basis tesible sokation - 3x10 tuxdot ox20 + 1x30+ 1x 5 + 3x15 30+80 +30 +5+45= 180