The best prices of three mutually complementary merchandises in the fuzzy sense

摘要

Let the demand functions of three mutually complementary merchandises X-1,X-2,X-3 be x(1) = a(1). - a(2)P(1) + a(3)P(2) + a(4)P(3), x(2) = b(1) + b(2)P(1) - b(3)P(2) + b(4)P(3), x(3) = c(1) + c(2)P(1) + c(3)P(2) - C4P3), 0 less than or equal to P-1 less than or equal to a(1)/a(2), 0 less than or equal to P-2 less than or equal to b(1)/b(3), 0 less than or equal to P-3 less than or equal to c(1)/c(4), With a(j) > 0, b(j) > 0, c(j) > 0, j = 1,2, 3, 4, known. The total revenue is R(P-1,P-2,P-3) = x(1)P(1) + x(2)P(2) + x(3)P(3). The monopolists can find the best prices P-1**, P-2**, P-3** for X-1, X-2, X-3 that make R(P-1,P-2, P-3) reach its maximum. In this paper, we deal with a perfect competitive market and find out the best prices in the fuzzy sense to get the maximum revenue. (C) 2001 Elsevier Science B.V. All rights reserved. [References: 8]