Question 6
Let
- x = the number of representatives sent from Little Rock to St. Louis,
- y = the number of representatives sent from Little Rock to Detroit,
- z = the number of representatives sent from Urbana to St. Louis,
- w = the number of representatives sent from Urbana to Detroit.
The problem:
Minimize C = 580x + 400y + 280z + 400w subject to
- x + y
6
- z + w 6
- x + z
5
- y + w 4
- x 0, y 0, z 0, w 0
Answer:
x = 0, y = 4, z = 5, w = 0; C = 3,000
Thus, you should send 4 representatives from Little Rock to Detroit, and 5 fromUrbana to St. Louis, for a total cost of $3,000.