Basic Variables	Quantity	30	40	20	0	0	0
		x1	x2	x3	s1	s2	s3
X1	250	1	0	-1.625	0.0625	-0.75	0
X2	625	0	1	1.9375	-0.0438	0.625	0
S3	125	0	0	0.6875	-0.0188	0.125	1
Zj	32500	30	40	28.75	0.125	2.5	0
Cj -Zj		0	0	-875	-0.125	-2.5	0

1. As per the above table;

2. What is the optimal solution?
3. Interpret the shadow prices of preparation cost and man-days of work.
4. Construct the dual for the problem.
5. Find the optimal values for the dual variables.
6. Find the range within which the production of corn can be changed without affecting the optimal solution.
7. Find the range within which the production of millet can be changed without affecting the optimal solution.
8. Find the range within which the production of cowpie can be changed without affecting the optimal solution. )
9. Identify the range within which preparation cost can be varied without altering the optimal solution.
10. Identify the range within which man-days of work can be varied without altering the optimal solution.