please write the solution step by step

1. [15 pts.] For the following Linear Programming model; maxz=3x1+2x2s.t.x1+2x2402x1+x250x1,x20 a. For what values of the objective function coefficients of x1 would the current basis remain optimal? [1.5 pts.] cc1 b. For what values of the objective function coefficients of x2 would the current basis remain optimal? [1.5 pts.] _ c2 c. If the right-hand side (RHS) value of the first constraint were 30 , then would the current basis remain optimal? Find the new optimal solution to the LP [ 3 pts.]. SRHS1z=x1=x2= d. If the right-hand side (RHS) value of the first constraint were 60 , then would the current basis remain optimal? Find the new optimal solution to the LP [3 pts.]. SRHS2z= x1= x2= e. Find the shadow price of each constraint [ 6 pts.]. Shadow Price of constraint 1= Shadow Price of constraint 2=