(a) (b) State the optimal delivery plan and cost. Contactgear must change couriers for the Selangor - San delivery (refer c13) but they do not want to recalculate their delivery plan from scratch as this would incur extra costs. By performing Sensitivity Analysis, identify the range of optimality for c13 for which the current basis remains optimal.

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Introduction to Operations Research

 

Contactgear Sdn. Bhd. has branches located in Selangor, Pahang and Johor. They
manufacture shelving racks for consumer use. Currently, there are 30 racks stored
in Selangor, 40 in Pahang and 30 in Johor. Contactgear has just received orders of
20, 20, 25 and 35 racks from Lam, Ran, San and Zen, respectively. Contactgear has
solved their problem using the Transportation Simplex Method. The following is the
optimal tableau that they have obtained.
(a)
(b)
Selangor
U₁=0
Pahang
42=-2
Johor
U3 = -2
Demand
V1 = 7
Lam
0
-2
20
20
7
7
5
V2 = 10
Ran
-3
10
10
20
10
11
8
V3 = 14
San
-3
State the optimal delivery plan and cost.
20
10
5
25
14
12
15
V4 = 8
Zen
0
-3
35
35
8
6
9
Supply
30
40
30
100
Contactgear must change couriers for the Selangor - San delivery (refer c13)
but they do not want to recalculate their delivery plan from scratch as this
would incur extra costs. By performing Sensitivity Analysis, identify the range
of optimality for C13 for which the current basis remains optimal.
Transcribed Image Text:Contactgear Sdn. Bhd. has branches located in Selangor, Pahang and Johor. They manufacture shelving racks for consumer use. Currently, there are 30 racks stored in Selangor, 40 in Pahang and 30 in Johor. Contactgear has just received orders of 20, 20, 25 and 35 racks from Lam, Ran, San and Zen, respectively. Contactgear has solved their problem using the Transportation Simplex Method. The following is the optimal tableau that they have obtained. (a) (b) Selangor U₁=0 Pahang 42=-2 Johor U3 = -2 Demand V1 = 7 Lam 0 -2 20 20 7 7 5 V2 = 10 Ran -3 10 10 20 10 11 8 V3 = 14 San -3 State the optimal delivery plan and cost. 20 10 5 25 14 12 15 V4 = 8 Zen 0 -3 35 35 8 6 9 Supply 30 40 30 100 Contactgear must change couriers for the Selangor - San delivery (refer c13) but they do not want to recalculate their delivery plan from scratch as this would incur extra costs. By performing Sensitivity Analysis, identify the range of optimality for C13 for which the current basis remains optimal.
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