In: Economics
Q12. Using the data in the table below, plot the
total fixed costs (TFC), total variable costs (TVC) and total cost
(TC) schedules.
Quantity TFC($) TVC($) TC($)
0 120 0 120
1 120 60 18
2 120 80 200
3 120 90 210
4 120 105 225
5 120 140 260
6 120 210 330
a. Given the table in Q12, determine the schedules
for average fixed costs (AFC), average variable costs (AVC), and
average costs (AC).
b. Plot the AFC, AVC, and AC schedules on a new
graph.
c. Why does the AFC curve fall continuously?
d. What is the relationship between AFC, AC and
AVC?
e. Determine the marginal cost (MC) schedule.
f. Plot the MC on the same graph as the AFC, AVC, and
AC curves
g. Does the MC curve intersect any of the other curves
in this figure? If so which curves? Does the intersection occur at
a particular point? If so, what point?
output | total fixed cost,TFC | total variable cost,TVC | total cost,TC | average fixed cost,AFC | average variable cost,AVC | average cost,AC | marginal cost,MC |
0 | 120 | 0 | 120 | - | - | - | - |
1 | 120 | 60 | 180 | 120 | 60 | 180 | 60 |
2 | 120 | 80 | 200 | 60 | 40 | 100 | 20 |
3 | 120 | 90 | 210 | 40 | 30 | 70 | 10 |
4 | 120 | 105 | 225 | 30 | 26.25 | 56.25 | 15 |
5 | 120 | 140 | 260 | 24 | 28 | 52 | 35 |
6 | 120 | 210 | 330 | 20 | 35 | 55 | 70 |
The average fixed costs AFC curve is downward sloping because fixed costs are distributed over a larger volume when the quantity produced increases. AFC is equal to the vertical difference between ATC and AVC. The AFC curve is asymptotic to to both the x and y axis as the fixed cost can never be 0 since fixed cost is positive.
MC curve intersects AC & AVC curve
. There are economies of scale as long as it costs less at the margin to produce than on average (MC<AVC). The MC curve cuts the AVC and ATC curves at their minimum. At output levels when MC>AVC, the production of an additional unit raises average variable costs.
AVC is at its minimum between output levels 4 & 5 units
AC is at its minimum between output levels 5 & 6 units