Economics question: indifference curve?

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In the discussion, the focus is on the relationship between two bads in terms of utility. When dealing with two bads, the slope of the curve is negative and curved, indicating that as one bad increases, the other must decrease to maintain total utility. The conversation emphasizes that even when one bad is considered worse than the other, the qualitative behavior of the utility curve remains unchanged. Whether the ratio is 1A=2B or 7.5A=137B, the fundamental principle holds that increasing one bad necessitates a decrease in the other, reflecting the concept of diminishing marginal utility. This reinforces the idea that the curve is not linear and consistently decreases as one moves along it.
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I know if you have two bads the slope is negative and is curved, and the closer to 0 the better.

But what if you have two bads where one is worse? I.e. good a and b are both bads, but you want 5 of good b for every 1 of good a?
 
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The qualitative behavior of the curve does not change. You are looking at points of equal total utility so it doesn't matter if 1A=2B or 7.5A=137B, the behavior is the same. Increasing one must decrease the other in order to maintain total utility (the curve is decreasing) and there is always diminishing marginal utility (the curve is not linear).
 
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