19. A company has four factories manufacturing the same commodity, which are required to be trans- ported to meet the demands in four warehouses. The supplies and demands as also the cost per trans- portation from factory to warehouse in rupees per unit of product are given in the following table: Warehouses Supply (units) Factory W A 25 55 40 60 60 Joqob B 35 30 50 40 140 C 36 45 26 66 150 lo to D. 35 30 41 50 50 Demand (units) 90 100 120 140 (a) Derive an optimal strategy of transportation of goods from factories to warehouses and assess the optimal cost. (b) If a new transporter agrees to transport goods from factory C to warehouse W at a unit cost of * 50, analyse the impact of this on your current optimal solution. (DMS, Mumbai, 1998)

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19. A company has four factories manufacturing the same commodity, which are required to be trans-
ported to meet the demands in four warehouses. The supplies and demands as also the cost per trans-
portation from factory to warehouse in rupees per unit of product are given in the following table:
Warehouses
Supply
(units)
Factory
Y
W
A
25
55
40
60
60
Joqob
l ta
B
35
30
50
40
140
C
36
45
26
66
150
lo'to
D
35
30
41
50
50
Demand (units)
90
100
120
140
(a) Derive an optimal strategy of transportation of goods from factories to warehouses and assess the
optimal cost.
(b) If a new transporter agrees to transport goods from factory C to warehouse W at a unit cost of
? 50, analyse the impact of this on your current optimal solution.
(DMS, Mumbai, 1998)
Transcribed Image Text:19. A company has four factories manufacturing the same commodity, which are required to be trans- ported to meet the demands in four warehouses. The supplies and demands as also the cost per trans- portation from factory to warehouse in rupees per unit of product are given in the following table: Warehouses Supply (units) Factory Y W A 25 55 40 60 60 Joqob l ta B 35 30 50 40 140 C 36 45 26 66 150 lo'to D 35 30 41 50 50 Demand (units) 90 100 120 140 (a) Derive an optimal strategy of transportation of goods from factories to warehouses and assess the optimal cost. (b) If a new transporter agrees to transport goods from factory C to warehouse W at a unit cost of ? 50, analyse the impact of this on your current optimal solution. (DMS, Mumbai, 1998)
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