Write the LPP formulation of the following transportation problem:

Question

		Destination			Supply
		D₁	D₂	D₃
	O₁	10	18	12	200
Source	O₂	15	17	9	300
	O₃	13	15	7	500
Requirement		400	200	400

20 Feb 2025

Answer :

Word Count : 436

To formulate the given transportation problem as a Linear Programming Problem (LPP), we need to define the decision variables, objective function, and constraints. ### Step 1: Decision Variables Let \( x_{ij} \) represent the amount transported from source \( O_i \) to destination \( D_j \), where: - \( i = 1, 2, 3 \) (sources \( O_1, O_2, O_3 \)) - \( j = 1, 2, 3 \) (destinations \( D_1, D_2, D_3 \)) Thus, we have the following decision variables: - \( x_{11}, x_{12}, x_{13} _____ __________ __________ _________ _____ ______.
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