Suppose there are two goods in the economy: corn and carrot. There are two factors: labor (L) and land ()0. The production functions for corn and carrot are: Ymdixt; lewd\"? Pm Both factors are freely mobile across the sectors. Suppose the relative price p,- : of Paar-rat a small economy (Home) is less than the world's relative price. Now, the small economy moves from autarky to free trade. Which of the following prediction is wrong? 0 Home will export corns and import carrots. 0 Labor will be reallocated from producing carrots to corns. O The real income of land will increase at Home. Both factors gain from free trade