We now calculate the cost at the corner points of the feasible region CA C020

We now calculate the cost at the corner points of the

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We now calculate the cost at the corner points of the feasible region. C(A) = C(0,20) = 30(0) + (20)(20) = 400 C(B) = C(5/2, 55/2) = (30) (5/2) = (20) (55/2) = 75 + 550 = 525 C(D) = C (30,0) = (30)(30) + (20)(0) = 900 Figure 28 Thus, the least cost occurs when the tailor purchases just 20 cards and the least cost is 400. 0 B(5/2,55/2) 15 A (0,20) 20/3 D(30,0) ³ X 6 x + 2y ≥40 2 x + 4y ≥ 60 x
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113 Linear Programming 4.7 SUMMARY The unit is about the mathematical discipline of linear programming. In section 4.0 , a number of relevant concepts including that of objective function, feasible region/solution space are introduced. Then the nomenclature ‘linear programming’ is explained. In section 4.2 the above concepts alongwith some other relevant concepts are (formally) defined. Section 4.3 explains the two graphical methods for solving linear programming problems (L.P.P.). viz. (i) corner point method (ii) iso-profit and iso-cost method. The methods are explained through a number of examples. Section 4.4 discusses methods of cost minimisation in context of linear programming problems. Answers/Solutions to questions/problems/exercises given in various sections of the unit are available in section 4.5 .
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