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Shadow Prices as Member Returns for a Marketing Cooperative

Ian W. Hardie

American Journal of Agricultural Economics, 1969, vol. 51, issue 4, 818-833

Abstract: Many marketing cooperatives handle several types or grades of member-supplied products. These cooperatives have to determine the returns to be alloted to each product. Helmberger, Hoos, and Nicholls have solved this problem for a cooperative with a single homogeneous product. However, their models do not extent readily to the multiple product case. This article describes how returns can be simultaneously calculated for each member-supplied product handled by a multiple product marketing cooperative. A linear programming model is first introduced to compute the returns under a set of rather restrictive assumptions. When these assumptions are relaxed, another method of deriving the values is required. Such a method—called the "pooling constraint" method—is presented in the latter part of the article.

Date: 1969
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