Using Excel Solver, solve the following LP model. x₁ = In-state freshmen in college i; i = 1, 2, ... 6 y₁ = Outofstate freshmen in college i; i = 1, 2, ….. 6 Maximize Z = 8,600(Σ.x;)+19,200 (Σ.y) subject to X₁+₁ ≤ 470 X2 + y₂ ≤1300 X3 + Y3 ≤ 240 X4+4 ≤820 X5 +15 ≤1060 X6 +16 ≤610 ESATI, (x) + ESATO, (y) 1150 Σx; + Σy; ≥ ΣΥ; Σx; + Σ.y; Xi X¡ + Yi ≤.47 Xį, Y¡ ≥ 0 - ≥.30, i = 1, 2, ... 6 Σx; +Σy; ≤ 4,500