Jane has a genetic condition that makes Lima beans and green beans taste like soap to her, so she dislikes them strongly. In fact, her utility function for a meal made up of Lima beans (L) and green beans (G) is:

$$U(L,G)=-\left(L^\frac{1}{2}+G^\frac{1}{2}\right) ^2$$

Jane enters a grocery store that sells only Lima beans and green beans with \$20 in her pocket. Brussel sprouts cost \$2 each and green beans cost \$1 each. Jane is a utility-maximizing individual.

What amount of money does she spend in the shop?

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