Delivered Price of a Good In a discussion of the delivered price of a good from a mill to a customer, DeCanio2 arrives at and solves the two quadratic equations
(2n −1)v2 − 2nv + 1 =0
and
nv2 − (2n + 1)v + 1 = 0
where n ≥ 1.
(a) Solve the first equation for v.
(b) Solve the second for v if v < 1.
1S. J. DeCanio, “Delivered Pricing and Multiple Basing Point Equilibria: A Revolution,” Quarterly Journal of Economics, XCIX, no. 2 (1984), 329–49.
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