# Operations problems

3.The costs to transport goods between outlets is listed below. What is the minimum cost and associated routing to ship from A to B and E on the same delivery run?

A B C D E

A 0 3 4 7 11

B 3 0 6 4 13

C 4 6 0 5 8

D 7 4 5 0 9

E 11 13 8 9 0

4. Four assembly plants can produce Tyco tricycles. The production capacities, the fixed costs for running the plant, and the variable costs for production are listed below. What is the best mix of plants and capacities if Tyco must produce 10000 tricycles this month?

Plant Fix Cost Var Cost Capacity

A 5000 1.25 3000

B 5700 1.5 4000

C 6450 1.35 3000

D 4000 1.4 3500 .

https://brainmass.com/math/optimization/operations-problems-107873

#### Solution Preview

1. route: A->B->E cost 3+13 = 16

Every other route is greater than 16

2. Since the capacity of any two of the plants is smaller than 10000, and the capacity of any three of the plants ...

#### Solution Summary

This shows how to find minimum cost and associated routing for a given situation, and find the best mix of plants and capacities for another situation.