A fire fighter got lost in a forrest. Let the coordinate he currently stayed be the origin of a Cartesian coordinate (x&y plane). He had to reach the nearest pond as soon as possible. The pond can be describe by the following system of linear inequalities with respect to the same Cartesian coordinate as that of the fire fighter. -2x + y <= -400 x - 2y <= 600 x + y <= 300 y <= -100 y >= -500 If trees in the forrest forced the fire fighter to travel only along the vertical (y) and the horizontal (x) directions of the coordinate. How far was he from the nearest point of the pond in the unit of the coordinate and what was that nearest coordinate? Model the problem as a linear program and solve for an optimal solution by USING EXCEL SOLVER