Two plants (P₁, P₂) are to serve three market points (M₁, M₂, M₃) through one warehouse. The coordinates of each point, volume flowing either to or from each point, and the associated transportation rates, are given in the following unfinished table:

The missing numbers for Point 5 (M₃) can be inferred or calculated first. Using the center-of-gravity method, to minimize the total transportation costs, the optimal location of the warehouse should be at ______________?

Point No. Xi Yi Volume, Vi Transportation Rate Ri (cwt.) ($/cwt./mi.) Vi* Ri Vi* Ri* Xi 11 (P1) 3 8 5,000 0.04 200 600 2 (P2) 8 12 17,000 0.04 280 2240 3 (M1) 2 5 3,500 0.095 332.5 665 4 (M2) 6 14 3,000 0.095 285 1710 15 (M3) 8 8 10.04