Consumer's goal is to maximize utility. Utility is the satisfaction received from consuming a good or combination of goods.
Marginal Utility--The change in total satisfaction associated with consumption of 1 additional unit of any good, ceteris paribus.
Example: Chicken McNuggets
| Number of McNuggets Consumed | Total Utility Derived from consuming McNuggets | Marginal Utility
|
| 0 | 0 | |
| 1 | 40 | 40 |
| 2 | 70 | 30 |
| 3 | 90 | 20 |
| 4 | 105 | 15 |
| 5 | 115 | 10 |
| 6 | 123 | 8 |
| 7 | 128 | 5 |
| 8 | 130 | 2 |
| 9 | 130 | 0 |
Utility maximization Rule: Given your budget, consume those goods first that maximize the marginal utility per dollar spent.
Consider two goods, Food and Clothing. The price of food per unit is $20 and the price of clothing per unit is $10. Your income is $70. Which combination of food and clothing will maximize total utility?
| Food: Price=$20 each | Clothing: Price=$10 each | ||||||
| Qty | Total Utility | Marginal Utility | MU/Price | Qty | Total Utility | Marginal Utility | MU/Price |
| 1 | 30 | 1 | 10 | ||||
| 2 | 55 | 2 | 17 | ||||
| 3 | 75 | 3 | 22 | ||||
| 4 | 90 | 4 | 26 | ||||
| 5 | 100 | 5 | 28 | ||||
| 6 | 105 | 6 | 29 | ||||
| Food: Price=$20 each | Clothing: Price=$10 each | ||||||
| Qty | Total Utility | Marginal Utility | MU/Price | Qty | Total Utility | Marginal Utility | MU/Price |
| 1 | 30 | 30 | 1.5 | 1 | 10 | 10 | 1 |
| 2 | 55 | 25 | 1.25 | 2 | 17 | 7 | 0.7 |
| 3 | 75 | 20 | 1 | 3 | 22 | 5 | 0.5 |
| 4 | 90 | 15 | 0.75 | 4 | 26 | 4 | 0.4 |
| 5 | 100 | 10 | 0.5 | 5 | 28 | 2 | 0.2 |
| 6 | 105 | 5 | 0.25 | 6 | 29 | 1 | 0.1 |
Suppose that income rises to $90?
Suppose that the price of food rises to $30?
| Food: Price=$30 each | Clothing: Price=$10 each | ||||||
| Qty | Total Utility | Marginal Utility | MU/Price | Qty | Total Utility | Marginal Utility | MU/Price |
| 1 | 30 | 30 | 1 | 1 | 10 | 10 | 1 |
| 2 | 55 | 25 | 0.83 | 2 | 17 | 7 | 0.7 |
| 3 | 75 | 20 | 0.66 | 3 | 22 | 5 | 0.5 |
| 4 | 90 | 15 | 0.5 | 4 | 26 | 4 | 0.4 |
| 5 | 100 | 10 | 0.33 | 5 | 28 | 2 | 0.2 |
| 6 | 105 | 5 | 0.16 | 6 | 29 | 1 | 0.1 |
Example: As the price of hamburgers falls, I find them cheaper (relative to other foods). As a consequence, I am likely to increase consumption of hamburgers. (Substitution effect).
Example: As the price of hamburgers falls, as a consumer of hamburgers, I suddenly have more change leftover to spend not just on hamburgers, but other goods as well. As a consequence, I am likely to increase consumption of hamburgers. (Income effect).
Arc elasticity is a useful way to estimate elasticities when prices and quantities change. It uses the midpoints of quantity and price to compute their respective percentage changes.
Definitions:
Demand is Price Elastic when: nd >1 ;
Demand is Price Inelastic when: nd<1 ;
Demand is Unitary Elastic when: nd=1
True or False:
A 10 percent reduction in price that leads to a 15 percent increase in the amount purchased indicates a price elasticity of demand greater than 1.
A 10 percent reduction in price that leads to a 2 percent increase in total expenditures indicates a price elasticity of demand greater than 1.
If the percent change in price is less than the resultant percent change in quantity demanded, demand is elastic.
This page was last modified Monday, January 27, 1997.