XVII. Cost curves
XVII. a. Definitions
- Total cost curve = graph of firm’s total cost function
- Variable cost curve = graph of firm’s variable cost function
- Average total cost curve = graph of firm’s average total cost function
- F = total cost of firm’s short-run fixed inputs
o F ≠ varying depending on firm’s output
- c v ( y ) = total cost of firm’s variable inputs when producing y output units = firm’s
variable cost function
- c ( y ) = total cost of all inputs (fixed & variable) when producing y output units =
firm’s total cost function
c ( y )=F+ c v ( y )
TC F c v ( y)
- For y > 0: firm’s average total cost function = = + = AFC ( y )+ AVC ( y)
y y y
F
- Average fixed cost curve: AFC ( y )=
y
- Note: in short-run with fixed amount of at least one input Law of Diminishing
(Marginal) Returns applying causing eventual increase in firm’s average variable
cost of production
XVII. b. Relationships between the cost curves
, - ATC(y) = AFC(y) + AVC(y)
- AVC(y) eventually increasing ATC(y) eventually increasing
∂ c v ( y) ∂ c ( y )
- Marginal cost function: MC ( y )= = since firm’s total cost function =
∂y ∂y
c ( y )=F+ c v ( y ) & F ≠ changing with output level y
XVII. a. Definitions
- Total cost curve = graph of firm’s total cost function
- Variable cost curve = graph of firm’s variable cost function
- Average total cost curve = graph of firm’s average total cost function
- F = total cost of firm’s short-run fixed inputs
o F ≠ varying depending on firm’s output
- c v ( y ) = total cost of firm’s variable inputs when producing y output units = firm’s
variable cost function
- c ( y ) = total cost of all inputs (fixed & variable) when producing y output units =
firm’s total cost function
c ( y )=F+ c v ( y )
TC F c v ( y)
- For y > 0: firm’s average total cost function = = + = AFC ( y )+ AVC ( y)
y y y
F
- Average fixed cost curve: AFC ( y )=
y
- Note: in short-run with fixed amount of at least one input Law of Diminishing
(Marginal) Returns applying causing eventual increase in firm’s average variable
cost of production
XVII. b. Relationships between the cost curves
, - ATC(y) = AFC(y) + AVC(y)
- AVC(y) eventually increasing ATC(y) eventually increasing
∂ c v ( y) ∂ c ( y )
- Marginal cost function: MC ( y )= = since firm’s total cost function =
∂y ∂y
c ( y )=F+ c v ( y ) & F ≠ changing with output level y