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On the Explicit Solution of a Special Class of Linear Economic Models

A. Ben-Israel, A. Charnes, A. P. Hurter and P. D. Roberts
Additional contact information
A. Ben-Israel: Northwestern University, Evanston, Illinois
A. Charnes: The University of Texas, Austin, Texas
A. P. Hurter: Northwestern University, Evanston, Illinois
P. D. Roberts: Research Analysis Corporation, McLean, Virginia

Operations Research, 1970, vol. 18, issue 3, 462-470

Abstract: This paper derives explicit solutions for a class of linear (inequality) economic models heretofore treated by linear programming. These solutions are quite elementary and the decision criteria given are easily interpreted. The explicit solutions may involve the inversion of a single matrix, but even this is not necessary for the three applications in capital budgeting, production planning, and input-output analysis given in the paper.

Date: 1970
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