How a consumer chooses: utility, the budget line, indifference curves and the optimum, demand and what shifts it, normal and inferior goods, and price elasticity of demand.
| Marginal utility | MUn = TUn − TUn−1 (TU = sum of the MUs so far) |
| Budget line | p1x1 + p2x2 = M; slope −p1/p2; most of good 1 = M ÷ p1 |
| Consumer’s optimum | MRS = p1/p2 |
| Price elasticity of demand | eD = % change in quantity ÷ % change in price |
| On a straight line q = a − bp | eD = bp ÷ q = bp ÷ (a − bp); eD = 1 at the midpoint p = a ÷ 2b |
| Market demand | add individual quantities at each price: (a1 − b1p) + (a2 − b2p) |
| Total expenditure | price × quantity |
The marginal utility of successive bananas is 16, 14, 6, −2, −6, −14. Find the total utility after each one. When is total utility greatest?
Working: TU = sum of MUs so far; TU is greatest where MU last stays positive (or is zero)
Answer: 16, 30, 36, 34, 28, 14; greatest (36) at 3 bananas