An upstream firm (U) sells an input to a downstream firm (D) which resells it to consumers. The marginal cost of U is 4. Each unit is sold by U to D at a transfer price r. Requirement final is p = 12 - y. a) Suppose U and D are separate firms. Find r, y and p. b) Suppose U and D are one integrated firm. Find p and y. c) Suppose the firms are not integrated, but firm U uses a two-part tariff: it requires payment of r for each unit sold to D; in addition, it requires payment lump sum of T. Find the value of r that U will choose. Find the minimum and maximum values by T. d) Suppose the firms are not integrated, but U imposes a resale price control on firm D. Find the value of r that U will choose, and the constraint that it will impose on the price final p

ENGR.ECONOMIC ANALYSIS
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An upstream firm (U) sells an input to a downstream firm (D) which resells it to consumers. The marginal cost of U is 4. Each unit is sold by U to D at a transfer price r. Requirement final is p = 12 - y. a) Suppose U and D are separate firms. Find r, y and p. b) Suppose U and D are one integrated firm. Find p and y. c) Suppose the firms are not integrated, but firm U uses a two-part tariff: it requires payment of r for each unit sold to D; in addition, it requires payment lump sum of T. Find the value of r that U will choose. Find the minimum and maximum values by T. d) Suppose the firms are not integrated, but U imposes a resale price control on firm D. Find the value of r that U will choose, and the constraint that it will impose on the price final p

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