Question: Comment on whether it is true that, at optimal point of utility maximization, objective valuation of good X in terms of good Y, determined by

Comment on whether it is true that, at optimal point of utility maximization, objective valuation of good X in terms of good Y, determined by prices, equals subjective valuation of good X in terms of good Y determined by marginal utility. Please give a good explanation about it and use graph if needed

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4. What specific changes in the environment have taken place in relation to the information we have collected?

2. The purpose of the acquisition of the information.

1. What is the meaning of the information we are collecting?