Jackson's nominal income is $$50,000$ per year in Lakeview where the cost$-$of$-$living index is $200.$ Jackson is considering accepting a similar job and relocating to Beachland where the cost$-$of$-$living index is $220.$ For Jackson's income to have the same purchasing power in Beachland as $$50,000$ has in Lakeview, Jackson's nominal income per year in Beachland must equal:

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a $$50,000.$

b $$52,100$

$$52,500$

$$55,000.$

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