3. [5 marks| Two clothing stores, Blouse Barn and Pant Pit, must each choose one of four locations for their store: Fairview, Conestoga, Boardwalk or Sunrise. The payoffs for each location depend on a variable x that is at least 1. Determine with justification all values of & > 1 so that there is exactly one Nash equilibrium for this location game. Pant Pit Boardwalk | Conestoga | Fairview Sunrise Boardwalk 0.2z, 1.5z 2z,z 10 %m, x 20 T, T Conestoga %m,m 5,2 30 | z+8, %:r: x,0.92 Blouse Barn Fairview x 20, %m z,x 40 x, %x %:{:, x Sunrise 27, 3 12,0.65z 0.7z,%2 | z 40,/