Here is the completed table with all calculations shown.
The formulas used are:
- Total Fixed Cost (TFC) = Total Cost (TC) when Quantity (Q) = 0 (TFC is constant for all output levels)
- Total Variable Cost (TVC) = TC−TFC
- Average Fixed Cost (AFC) = QTFC
- Average Variable Cost (AVC) = QTVC
- Average Total Cost (ATC) = QTC or ATC=AFC+AVC
- Marginal Cost (MC) = ΔQΔTC or ΔQΔTVC
Here is the completed table:
Q0123456TC60140210270320380420TFC60606060606060TVC080150210260320360AFC−603020151210AVC−807570656460ATC−14010590807670MC−807060506040
Here are the step-by-step calculations for each row:
Step 1: Determine TFC.
At Q=0, TC=60. Since TVC=0 at Q=0, TC=TFC. Therefore, TFC=60 for all output levels.
Step 2: Calculate for Q=0.
- TC=60 (given)
- TFC=60
- TVC=TC−TFC=60−60=0
- AFC,AVC,ATC,MC are not applicable or undefined at Q=0.
Step 3: Calculate for Q=1.
- TC=140 (given)
- TFC=60
- TVC=TC−TFC=140−60=80
- AFC=QTFC=160=60
- AVC=QTVC=180=80
- ATC=QTC=1140=140
- MC=ΔQΔTC=1−0140−60=180=80
Step 4: Calculate for Q=2.
- TC=210 (given)
- TFC=60
- TVC=TC−TFC=210−60=150
- AFC=QTFC=260=30
- AVC=QTVC=2150=75
- ATC=QTC=2210=105
- MC=ΔQΔTC=2−1210−140=170=70
Step 5: Calculate for Q=3.
- TC=270 (given)
- TFC=60
- TVC=TC−TFC=270−60=210
- AFC=QTFC=360=20
- AVC=QTVC=3210=70
- ATC=QTC=3270=90
- MC=ΔQΔTC=3−2270−210=160=60
Step 6: Calculate for Q=4.
- TC=320 (given)
- TFC=60
- TVC=TC−TFC=320−60=260
- AFC=QTFC=460=15
- AVC=QTVC=4260=65
- ATC=QTC=4320=80
- MC=ΔQΔTC=4−3320−270=150=50
Step 7: Calculate for Q=5.
- TC=380 (given)
- TFC=60
- TVC=TC−TFC=380−60=320
- AFC=QTFC=560=12
- AVC=QTVC=5320=64
- ATC=QTC=5380=76
- MC=ΔQΔTC=5−4380−320=160=60
Step 8: Calculate for Q=6.
- TC=420 (given)
- TFC=60
- TVC=TC−TFC=420−60=360
- AFC=QTFC=660=10
- AVC=QTVC=6360=60
- ATC=QTC=6420=70
- $MC = \frac{\Delta TC}{\Delta Q} = \frac{420 - 380}{6 - 5} = \frac{40}{1} =