The final simplex solution of a problem is given below:

row z z+ 0.37x3+0.87x4=42.8

row 1 x1+ 0.72x3-0.27x4=5.8

row 2 x2- 0.58x3+0.42x4=3.6

a) By how much the profit coefficient of x1 and x2 can be varied one at a time, maintaining the above optimality? c1 represent allowable variation in coefficient of x1, similarly c2 represent allowable variation in coefficient of x2 b) By how much the R.H.S of the constraints can be varied individually without changing the optimality? b1 represents allowable variation in the RHS of row 1 and similarly, b2 represents allowable variation in the RHS of row 2. Fill in the boxes 1,2,3,4,5,7 and 8 as shown in table.

amount of variation	or	value to be filled in the box	marks
c1		box 1	1
c1		box2	1
c2		box3	1
c2		box4	1

b1		box 5	1
b1		box6	1
b2		box7	1
b2		box8	1