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Variables Values 4 0 0 5 X2 Minimum Ratio X1 S1 1 S2 0 x2 5 10 1 1 s2 0 3 1 0 -1

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Variables Values 4 0 0 5 X2 Minimum Ratio X1 S1 1 S2 0 x2 5 10 1 1 s2 0 3 1 0 -1 1 z 5 5 5 5 0 NER C.Z -1 0 -5 0 Answer the following questions, giving reasons in brief: (i) Is the above solution optimal? (ii) Are there more than one optimal solution? (iii) Is this solution degenerate? (iv) Is this solution feasible? (v) If si is slack in machine A (in hours/week) and s2 is slack in machine B (in hours/week), which of these machines is being used to the full capacity when producing according to this solution? (vi) A customer would like to have one unit of product x1 and is willing to pay in excess of the normal price in order to get it. How much the price should be increased in order to ensure no reduction of profit? (vii) Machine A (associated with slack s1, in hours/week) has to be shut down for repairs for 2 hours next week. What will be the effect on profits? (vii) How many units of the two-product x1 and x2 are being produced according to this solution and what is the total profit? Variables Values 4 0 0 5 X2 Minimum Ratio X1 S1 1 S2 0 x2 5 10 1 1 s2 0 3 1 0 -1 1 z 5 5 5 5 0 NER C.Z -1 0 -5 0 Answer the following questions, giving reasons in brief: (i) Is the above solution optimal? (ii) Are there more than one optimal solution? (iii) Is this solution degenerate? (iv) Is this solution feasible? (v) If si is slack in machine A (in hours/week) and s2 is slack in machine B (in hours/week), which of these machines is being used to the full capacity when producing according to this solution? (vi) A customer would like to have one unit of product x1 and is willing to pay in excess of the normal price in order to get it. How much the price should be increased in order to ensure no reduction of profit? (vii) Machine A (associated with slack s1, in hours/week) has to be shut down for repairs for 2 hours next week. What will be the effect on profits? (vii) How many units of the two-product x1 and x2 are being produced according to this solution and what is the total profit

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