Question

1. Company transport raw material from three different manufacturing plants to three warehouses. The supplies and demand requirements at the three plants and warehouses, and the transport cost per unit of raw material are as follows.

Warehouses Plants	X	Y	Z	Supply
1	1	2	1	100
2	1	3	5	90
3	2	3	5	80
Demand	125	60	70

1. Determine the initial tableau using the minimum costs method.
2. Construct the initial tableau using the Voguel method.

Answer 1

SPP ANSWER DATE: PAGS: ra Minimum Least Cost Methed or Cost Method Warehouses ty x Plants & 4 Supply 1 2 100 2 3 3 3 60 5 fo Demand 125 70 Total Demand = 255 Total Supply = Demand & supply 270 Alge. So, we will destination is less dummy demand Supply than Dummy. destination (۱ رجب have o cost у Z Dummy supply ) 5 o y 2 3 3 60 90 1 2 3 5 2 70 15 Demand 125 Good Write REDMI NOTE 8 AI QUAD CAMERA

PAGE: In least Cost method take the cell Jeast Cost we with the Х 2 o 15 2 3 2 1 85 5 5 90 3 3 2 Demond 125 601 70 X y z Dennomy Supply 2 2 - 85 3 5 0 3. 5 0 80 3 Demand 35 bo 70 O which is As least Cost is one in 3 cells but we choose cell where maximum allocation is Possible 4 2 Dutumy Supply 115 15 1 2 1901 6 3 3 2 3 S Demand 35 fo 70 REDMI NOTE 8 AI QUAD CAMERA

DATLA PAGE x 4 Dummy Supply 15 O 1 90 3 5 3 ♡ Demand 3. 60 S o 20 X Z Dummy supply 1 15 115 ? 1 2 190 у 2 3 3 60 3 21 20 60 Demand a 60 units Last cell left remaining 62 (32 allocated are Cells Initial Basic Feasible Soln X Y z Dummy Dummy supply 2 1 10 o Cis a 100 90 90 5 2 (20 3. 3 160 60 2 3 Demand 5 125 15 TO Min, Cost = 1x15 + 1x70+ 1x 90 + 2x20 + 3x60 - 395 (Dummy supply is not considered) Good Write REDMI NOTE 8 AI QUAD CAMERA

Method Vogel's Approximation х 7 2 Duanmy supply 2 - 7 S O 90 80 0 2 3. Demand 125 3. 60 15 V 4 170 o supply 30 Row Penalty 1-0=1 1-01 2-0-2 $ 0 2 3. 0 2 HU 3. 3. -60 3.2 -1 0 15 Demand 0-0 5.- -4 125 Column 1 Penalty Max. Penalty is choosen. 2 Supply Penalty x y 2. 30 90 65 1 $ b 15 2 3 3 60; S 2 3 2 Demand 125 Column D Penalty 1 Good Write REDMI NOTE 8 AI QUAD CAMERA

(SPP) DATE: PAGE: q Z Row Scupple Penalty 2 1701 30 90 2 3 6 2 2 3. 6o O 65 35 ha Demand Column Penalty Row 6 Supply Penalty 130 79 2 to 0 4 190 3 ht 2 3 65 Z 3 Demand Column Penalty 5. 1 and Allocate 5 units to 31 60 units to C32 Initial Basic Feasible Soin Z Supply D. 4 2 1701 160 x 1 130 190 0 1 3 5 80 2 360 5 ZE Olis) 15 3 60 70 125 Demand Renalty Min. Cost - 1830 + 1870 + 1x90 + 2x5 + 3x 60 380 Good Write REDMI NOTE 8 AI QUAD CAMERA