Answer Happy

d) The final simplex table for the above problem is given below. Note: 51, s2and s3 relates to preparation cost, man-days of work and land area respectively. 40 20 0 0 0 = X2 0 S3 0 0 1 Basic Quantity 30 Variables X1 X1 2501 X2 6250 S3 1250 Zj 32500 30 Ci -Zi 0 As per the above table; X3 -1.625 1.9375 0.6875 28.75 -875 S1 0.0625 -0.0438 -0.0188 0.125 -0.125 S2 -0.75 0.625 0.125 2.5 -2.5 0 1 40 0 0 0 (2 (i) What is the optimal solution? marks) (ii) Interpret the shadow prices of preparation cost and man-days of work. (2 marks) (5 (iii) Construct the dual for the problem. marks) (2 (iv) Find the optimal values for the dual variables. marks) (v) Find the range within which the production of corn can be changed without affecting the optimal solution. (3 marks) (vi) Find the range within which the production of millet can be changed without affecting the optimal solution. (3 marks) (vii) Find the range within which the production of cowpie can be changed without affecting the optimal solution. (3 marks) (viii) Identify the range within which preparation cost can be varied without altering the optimal solution. (3 marks) (ix) Identify the range within which man-days of work can be varied without altering the optimal solution.