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Problem 1 (14 POINTS) Consider the function 4 : R - R given by P (I ) In (1 - x) for 0. Define the function F : R' - R by F(y1, y2) = 12 - 4(y1 ) for (y1, 12) E IR. Let Y C R' be the technology with transformation function F. Let y* = (yt, y;) EY be an efficient production plan. Determine a price vector p = (p1, p2) such that y* e y(p). (Distinguish between the cases y; 0.)
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