Explain Why Utility Maximization Subject To The Budget Constraint Implies That The C 3290622

Explain why utility maximization subject to the budget constraint implies that the consumer purchases that basket of commodities for which 1. all income is used up. 2. the marginal rate of substitution equals the price ratio. 3. the marginal utilities per dollar of the two goods are equal. If you use a diagram in your answer, make the diagram large and label all curves, axes, and points.