MGEA02H3 Lecture 6: MGEA02 – Lecture six - The demand curve pt.2

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MGEA02 Lecture 6 The demand curve part 2
Last week’s agenda:
o Consumer surplus
How to use it and what it is
o Optimal purchase rules (OPR)
o Demand curve
o How the marginal utility and price are connected
Equations
o U (Q) = Utility function
Equation is typically given in a problem
Represents the level of happiness/ satisfaction
Can be linear and non linear
Linear dominates non linear when Q is small
Vise versa as Q gets larger
Assume that the consumer is rational
Will not over consume
Marginal utility is non- negative
o MU = Marginal utility = dU/dQ
Derived from the utility function
Change in the total utility
The first derivative of the utility function
MU cannot be negative but may be 0
o Rational consumer is assumed
o Optimal purchase rule:
P = MU = OPR
P = MU is the optimal
Sets out Q that maximizes the CS
Once this is done, the demand curve is found
P and MU are connected
Total expenditure
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