Tyrell and Sons owns clothing factories in three cities of their home state of St. Kitts and Nevis. These three factories are situated in Sandy Point, Basseterre in St. Kit ts and Charlestown in Nevis and these factories distribute to three retail dress shops in three other towns (in St. Pauls, Cayon and Gingerland). The table below summarizes factory availabilities, projected store demands, and unit shipping costs.
|
From Factory
|
To Dress Shop
|
Factory Availability
|
|
St. Pauls
|
Cayon
|
Gingerland
|
|
Sandy Point
|
$4
|
$3
|
$3
|
35
|
|
Basseterre
|
$6
|
$7
|
$6
|
50
|
|
Charlestown
|
$8
|
$2
|
$5
|
50
|
|
Store Demand
|
30
|
65
|
40
|
135
|
a. Derive an initial solution using:
i. Minimum cell cost method
ii. Vogel's approximation method (VAM)
b. Draw a well annotated source-destination chart to illustrate this LP problem
c. Using systematic nomenclature for the variables, write out an LP formulation for the problem in preparation for applying a computer software like 'solver'.