I was reading a case study in Hal Varian, where the author talks about essentially a surge pricing mechanism for incentivizing households to consume less electricity during peak hours (so as to not exceed total capacity). Thus, the electricity company basically increases prices during peak hours.
This leads to the following indifference curves and budget lines. (pic attached. Reference : Hal R. Varian, Intermediate Microeconomics)
Now its clear that under surge pricing (RTP budget constraint), the optimal bundle has changed but infact the consumer is better off since the previous bundle is affordable but they choose a different point because it leads to a higher indifference curve, giving more utility.
This leads to my actual question : I can technically pivot the line around the original baseline optimal point in any of the infinite ways, and at each pivot, the original bundle will be affordable but not necessary be optimal, and thus may lead to infinite different optimal points, depending on how it is pivoted.
In this sense, is there an optimal "pivot" or slope of the budget line or MRS ratio with the same income (so that it passes through the original baseline optimal point) that gives the maximum utility? If yes, how does it make sense practically? I was forced to consume less but i am more happy?