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When goods prices are given as P1 = 1 and P2 = 2, U = 2-x; Let there be a consumer with a semi-linear utility

When goods prices are given as P1 = 1 and P2 = 2, U = 2-x; Let there be a consumer with a semi-linear utility function of 0.25 + x2. Is the optimal basket of goods of the consumer in question in the interior solution, in the corner?

Investigate the conditions for providing a solution.

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