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The corner points of the feasible region determined by the following system of linear inequalities : 2x+y≥10, x+3y≥15, x, y≥0 are(0, 0),(5, 0),(3, 4) and (0, 5). Let Z = px + qy, where p, q > 0. Condition on p and q so that the maximum of Z occurs at both (3, 4) and (0, 5) is (a) p = q (b) p = 2q (c) p = 3q (d) q = 3p |
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Answer» The corner points of the feasible region determined by the following system of linear inequalities : 2x+y≥10, x+3y≥15, x, y≥0 are(0, 0),(5, 0),(3, 4) and (0, 5). Let Z = px + qy, where p, q > 0. Condition on p and q so that the maximum of Z occurs at both (3, 4) and (0, 5) is (a) p = q (b) p = 2q (c) p = 3q (d) q = 3p |
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