Let,
xij = number of cars transported from plant i to distributor j where i = {A=1,B=2,C=3} and j ={I=1,II=2,III=3}
Objective is to minimize transportation cost = Min 230x11+410x12+210x13+150x21+320x22+230x23+190x31+130x32+200x33
subject to,
Capacity constraints
x11+x12+x13 <= 200 (Plant A)
x21+x22+x23 <= 150 (Plant B)
x31+x32+x33 <= 250 (Plant C)
x11+x21+x31 = 120 (Distributor 1)
x12+x22+x32 = 270 (Distributor 2)
x13+x23+x33 = 200 (Distributor 3)
xij >= 0
Solving in solver we get following optimal transportation schedule
| Plant A | Plant B | Plant C | |
| Distributor 1 | 0 | 0 | 120 |
| Distributor 2 | 200 | 70 | 0 |
| Distributor 3 | 0 | 80 | 120 |
Minimized cost = 169600
Solver screenshot

Solver formula

Solver window

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Answer the problem 2 only please. Also if you could upload the
excel sheet as well will be very appreciated. thanks
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