Sir, please solve my problem and give me solution my problem is based on profit maximization.
Question. A clothing manufacturer produces clothing in five locations in the U.S. In a move to vertical integration, the company is planning a new fabric production plant which will supply fabric to all five clothing plants. The clothing plants have been located on a coordinate system as follows:
Location X.Y
A 7,2
B 4,7
C 5,5
D 6,2
E 8,4
- If the shipments of fabric to each plant are equal, what is the optimal location for the fabric plant?
- if the shipments of fabric to each plant vary per week as follows: plant A, 200 units; plant B, 400 units; plant C, 300 units; plant D, 300 units; and plant E, 200 units, what is the optimal location for the fabric plant?