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1- What is the forma definition of the marginal rate of substation? what does it tell us? is it true that, when a consumer maximizes

1- What is the forma definition of the "marginal rate of substation? what does it tell us? is it true that, when a consumer maximizes rate of substation between any two goods and ratio of their two prices? give an example of a utility function where the consumer chooses a corner solution.

2- explain the difference between the direct utility function and indirect utility function.

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