) Using matrix – minima method, find the initial basic feasible

Question

) Using matrix – minima method, find the initial basic feasible solution of the following transportation problem:

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Hence find the optimal solution.

b) Check whether the following set is convex:

$$S = \{(x, y) : x^2 + y^2 \le 1, y^2 \ge x\}$ $

09 Jan 2026

Answer :

Word Count : 423

### (a) Transportation problem Cost matrix, supplies, demands | | D1 | D2 | D3 | D4 | Supply | | ---------- | -- | -- | -- | -- | ------ | | S1 | 4 | 6 | 8 | 8 | 40 | | S2 | 6 | 8 | 6 | 7 | 60 | | S3 | 5 | 7 | 6 | 8 | 50 | | Demand | 20 | 30 | 50 | 50 | | Total supply = total demand = 150 → balanced. --- ## Initial basic feasible solution (Matrix–Minima / Least Cost Method) Pick ________ __________ ____ ________ ___.
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