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Question

If a consumer has monotonic preferences, can she be indifferent between the bundles (10, 8) and (8, 6)?

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Solution

No. the consumer can't be indifferent between the two.
If the consumer's preferences are monotonic, she cannot be indifferent between the combinations (10, 8) and (8, 6). Because, the first combination (10, 8) allows more of both the goods as compared to the second combination (8, 6). Implying that first combination offers higher level of satisfaction, and the consumer must prefer it to the other.

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