Questions about sensitivity analysis
XX solves a linear programming problem with the objective function z=60x1+45x2 and finds that the optimal solution is at located at point P,which is the intersection of the boundary lines of the constraints 5x1+3x2<=30 and 2x1+5x2<=20.
The wonders what would happen to the optimal solution if he were to change one of the coefficients of the objective function.
a) Determine the range of coefficient of x1 in the objective function for which point P remains the optimal solution to the LP.
b) Determine the range of coefficient of x2 in the objective function for which point P remains the optimal solution to the LP.