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March 18, 2026The Accounting Review0 citations

A Linear Programming Framework for Cost Allocation and External Acquisition when Reciprocal Services Exist.

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KBKenneth R. BakerRTRod S Taylor

Key Points

  • This research aims to develop a linear programming framework to evaluate external acquisitions and cost allocations in the presence of reciprocal services.
  • Developed a linear programming model to analyze external service acquisitions.
  • Incorporated simultaneous equation relationships for reciprocal services.
  • Applied the model to compute cost allocations even with externally purchased overhead services.
  • Confirmed that external acquisitions can be economically viable under certain conditions.
  • Identified optimal quantities for external acquisitions based on the linear programming outcomes.
  • Provided a method for accurately computing cost allocations involving overhead services.

Abstract

Abstract ABSTRACT: This paper views the external acquisition of services as a variation of the traditional make-buy problem. A linear programming framework for external acquisition is proposed which generalizes the traditional make-buy model by incorporating the simultaneous equation relationships for reciprocal services. Using linear programming results it is possible to determine whether external acquisitions are economically attractive and in what quantity. In addition, this paper demonstrates how to use the linear programming results to compute cost allocations, even when some overhead services are purchased externally.

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Cite This Study

Baker et al. (1979) studied this question.

synapsesocial.com/papers/69ba44154e9516ffd37a603bhttps://doi.org/10.2308/tar-4489303
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