In a foundry, there are seven shops whose coordinates are summarized in the following table.

Sl. No. Existing Facility Co-ordinates of Centroid 1 Sand plant 10, 20 2 Moulding shop 30, 40 3 Pattern shop 10, 120 4 Melting shop 10, 60 5 Fetling shop 30, 100 6 Gouging shop 30, 140 7 Annealing shop 20, 190 The company is interested in locating a new costly fire fighting equipment in the foundry.

Determine the minimax location for the new equipment.

AppendixLO1