Let the following partial simplex tableau for Max model: z=20x1+30x2+25x3

Basic z x1 x2 x3 s1 s2 s3 Sol'n Ratio
z 1 85 0 0 25 -20 0 ---
0 3 0 1 1 -2 0 100
0 1 1 0 0 1 0 200
0 -5 0 0 -2 4 1 400

a) Write down LP which gave rise to above tableau.

b) Write down the basic and non-basic variables?

c) Write down the values of all the variables and value of the objective function at corner point corresponding to the tableau?

d) Is current solution optimal? If not, which variable must enter and which must exit?

e) Use simplex method to find optimal solution and optimal profit.