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Lucie likes consuming candy (c) and fruit (f), and dislikes consuming plastic packaging (p), and has rational preferences over bundles (c, f, p). No matter

Lucie likes consuming candy (c) and fruit (f), and dislikes consuming plastic packaging (p), and has rational preferences over bundles (c, f, p). No matter how many units of each good she has, Lucie is always willing to exchange one piece of fruit for one piece of candy (and vise versa), and always has to be compensated by an extra piece of fruit for every piece of plastic packaging she has to consume.

Lucie finds a small organic market that sells 4 candies in 1 piece of plastic packaging, and sells fruit with no plastic packaging. Each wrapped container of 4 candies costs $20 at this market, and each unwrapped piece of fruit costs $6. When she chooses optimally, Lucie consumes _ pieces of candy, _ pieces of fruit, and _ pieces of plastic packaging. Show working/explanation for your answer.

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