Question: 30 0 S3 Basic Quantity 40 20 0 0 Variables X1 X2 X3 S1 S2 X1 2501 0 -1.625 0.0625 -0.75 X2 6250 1 1.9375

30 0 S3 Basic Quantity 40 20 0 0 Variables X1 X2

30 0 S3 Basic Quantity 40 20 0 0 Variables X1 X2 X3 S1 S2 X1 2501 0 -1.625 0.0625 -0.75 X2 6250 1 1.9375 -0.0438 0.625 S3 1250 0 0.6875 -0.0188 0.125 zi 32500 30 40 28.75 0.125 2.5 Cj-zi 0 0 -875 -0.125 -2.5 As per the above table; (0) What is the optimal solution? (ii) Interpret the shadow prices of preparation cost and man-days of work. lolololo 1 (iii) (iv) ( (v) Construct the dual for the problem. Find the optimal values for the dual variables. Find the range within which the production of corn can be changed without affecting the optimal solution. (vi) Find the range within which the production of millet can be changed without affecting the optimal solution. (vii) Find the range within which the production of cowpie can be changed without affecting the optimal solution 30 0 S3 Basic Quantity 40 20 0 0 Variables X1 X2 X3 S1 S2 X1 2501 0 -1.625 0.0625 -0.75 X2 6250 1 1.9375 -0.0438 0.625 S3 1250 0 0.6875 -0.0188 0.125 zi 32500 30 40 28.75 0.125 2.5 Cj-zi 0 0 -875 -0.125 -2.5 As per the above table; (0) What is the optimal solution? (ii) Interpret the shadow prices of preparation cost and man-days of work. lolololo 1 (iii) (iv) ( (v) Construct the dual for the problem. Find the optimal values for the dual variables. Find the range within which the production of corn can be changed without affecting the optimal solution. (vi) Find the range within which the production of millet can be changed without affecting the optimal solution. (vii) Find the range within which the production of cowpie can be changed without affecting the optimal solution

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