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MRSXY=PXPYMRS sub cap X cap Y end-sub equals the fraction with numerator cap P sub cap X and denominator cap P sub cap Y end-fraction
Two indifference curves cannot cross each other, as that would violate the assumption of transitivity and consistency. Marginal Rate of Substitution (MRS) consumer equilibrium class 11 notes free
And yes, he shared the notes with the whole class. For free. MRSXY=PXPYMRS sub cap X cap Y end-sub equals