7. A company manufactures a type of product in four different production plants: P1, P2, P3 and P4. Each
of these production plants can produce up to 15 tons per month. The company supplies 30, 16 and 14
tons a month to three customers C1, C2 and C3, respectively. The distances measured in km from each
production plant to each customer are displayed below:
Distance
From
C1
C2
C3
Plant 1
100
100
50
Plant 2
650
110
100
Plant 3
60
65
75
Plant 4
150
90
70
The cost of transporting each ton of product is of 0.5 euros per km. Formulate the matrix format of the
transportation problem to minimize the company's transportation! Use Vogel's method first to find initial
basic solution!