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प्रश्न
A corner point of a feasible region is a point in the region which is the ______ of two boundary lines.
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उत्तर
A corner point of a feasible region is a point in the region which is the intersection of two boundary lines.
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संबंधित प्रश्न
Two tailors, A and B, earn Rs 300 and Rs 400 per day respectively. A can stitch 6 shirts and 4 pairs of trousers while B can stitch 10 shirts and 4 pairs of trousers per day. To find how many days should each of them work and if it is desired to produce at least 60 shirts and 32 pairs of trousers at a minimum labour cost, formulate this as an LPP
Solve the following Linear Programming Problems graphically:
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Solve the following Linear Programming Problems graphically:
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Show that the minimum of Z occurs at more than two points.
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Show that the minimum of Z occurs at more than two points.
Maximise Z = – x + 2y, Subject to the constraints:
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Refer to Example 9. How many packets of each food should be used to maximize the amount of vitamin A in the diet? What is the maximum amount of vitamin A in the diet?
A farmer mixes two brands P and Q of cattle feed. Brand P, costing Rs 250 per bag contains 3 units of nutritional element A, 2.5 units of element B and 2 units of element C. Brand Q costing Rs 200 per bag contains 1.5 units of nutritional elements A, 11.25 units of element B, and 3 units of element C. The minimum requirements of nutrients A, B and C are 18 units, 45 units and 24 units respectively. Determine the number of bags of each brand which should be mixed in order to produce a mixture having a minimum cost per bag? What is the minimum cost of the mixture per bag?
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| Food I (per lb) |
Food II (per lb) |
Minimum daily requirement for the nutrient |
||||
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| Protein | 5 | 4 | 20 | |||
| Calories | 2 | 6 | 13 | |||
| Price (Rs) | 60 | 100 |
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The minimum value of the objective function Z = ax + by in a linear programming problem always occurs at only one corner point of the feasible region
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The corner points of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20, 40), (60, 20), (60, 0). The objective function is Z = 4x + 3y ______.
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| Column A | Column B |
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The feasible solution for a LPP is shown in Figure. Let Z = 3x – 4y be the objective function. Minimum of Z occurs at ______.
Refer to Question 32, Maximum of F – Minimum of F = ______.
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The feasible region for an LPP is always a ______ polygon.
A linear programming problem is as follows:
Minimize Z = 30x + 50y
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In the feasible region, the minimum value of Z occurs at:
In a linear programming problem, the constraints on the decision variables x and y are x − 3y ≥ 0, y ≥ 0, 0 ≤ x ≤ 3. The feasible region:
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In linear programming infeasible solutions
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Which statement best describes a Linear Programming Problem (LPP)?
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Which component must always be included in a Linear Programming Problem?
