ECON2209 Lecture Notes - Lecture 6: Marginal Cost, Isocost, Production Function
February 1st
● What is the slope of the budget constraint called?
○ Marginal Ability to Trade (MAT)
● Utility Maximizing Rule
○ MUX/MUY = PX/PY
○ Or
○ MUX/PX=MUY/PY
■ MU per dollar spent on X and MU per dollar spent on Y
● 4. Deriving the Demand Curve
○ Derive demand curve for X
○ Hold constant:
■ I (Income)
■ PY
■ Taste in Preferences
■ Expectations
○ Change PX (OTE) and see how QX at equilibrium changes
○ If a consumer is rational and good is normal, we expect demand curve to be
downward sloping
○ The points on the demand curve, are solutions to the consumer’s economic
problem
○ At those points the consumer is maximizing utility, subject to the budget
constraint. All represent points of equilibrium
● 5. Firm Theory
○ Production
■ Production Function
● Def: Shows a maximum output that can be produced, given the
combination of inputs
● Q = F(K,L)
● K = Capital
● L = Labor
● We also call Q: “Total Product”
■ Marginal Product
● Marginal product of a factor, MPF = ChangeQ/ChangeF
● Ex: Marginal product of Labor, MPL=Change Q/ ChangeL
● Same with K (Capital)
■ Average Product
● APF= Q/F
● Ex: APL = Q/L
● Ex: APK= Q/K
■ Graphically:
● At point A draw a tangent line
● The marginal product of A is the slope of the tangent line to the
production function at point A
● Average product is the slope of the line going through A and O.
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Document Summary
Mu per dollar spent on x and mu per dollar spent on y. At point a draw a tangent line. The marginal product of a is the slope of the tangent line to the production function at point a. Average product is the slope of the line going through a and o. Change px (ote) and see how qx at equilibrium changes. If a consumer is rational and good is normal, we expect demand curve to be downward sloping. The points on the demand curve, are solutions to the consumer"s economic problem. At those points the consumer is maximizing utility, subject to the budget constraint. Def: shows a maximum output that can be produced, given the combination of inputs. Marginal product of a factor, mpf = changeq/changef. Ex: marginal product of labor, mpl=change q/ changel. When mpf is greater the apf, ap is rising and hits a maximum. When mpf is lesser than apf, ap is dropping.