Welcome back Idah — been a while! Let's pick up where you left off.
To complete the table, we will use the following formulas:
- Total Revenue (TR) = Price (P) × Output (Q)
- Marginal Revenue (MR) = TRn−TRn−1 (Change in Total Revenue from the previous unit)
- Marginal Cost (MC) = TCn−TCn−1 (Change in Total Cost from the previous unit)
Note: There appears to be a typo in the original table for Total Revenue (TR) at Output (Q) = 2. Based on the formula TR = P × Q, the TR for Q=2 should be 15×2=30, not 36. We will use the corrected value of 30 for our calculations.
Step 1: Calculate Total Revenue (TR) for each output level.
TR0TR1TR2TR3TR4TR5TR6TR7TR8TR9TR10=17×0=0=16×1=16=15×2=30=14×3=42=13×4=52=12×5=60=11×6=66=10×7=70=9×8=72=8×9=72=7×10=70
Step 2: Calculate Marginal Revenue (MR) for each output level using the corrected TR values.
MR1MR2MR3MR4MR5MR6MR7MR8MR9MR10=TR1−TR0=16−0=16=TR2−TR1=30−16=14=TR3−TR2=42−30=12=TR4−TR3=52−42=10=TR5−TR4=60−52=8=TR6−TR5=66−60=6=TR7−TR6=70−66=4=TR8−TR7=72−70=2=TR9−TR8=72−72=0=TR10−TR9=70−72=−2
Step 3: Calculate Marginal Cost (MC) for each output level.
MC1MC2MC3MC4MC5MC6MC7MC8MC9MC10=TC1−TC0=18−10=8=TC2−TC1=23−18=5=TC3−TC2=25−23=2=TC4−TC3=27−25=2=TC5−TC4=28−27=1=TC6−TC5=32−28=4=TC7−TC6=40−32=8=TC8−TC7=50−40=10=TC9−TC8=64−50=14=TC10−TC9=80−64=16
Step 4: Present the completed table.
The completed table is shown below:
\begin{array}{|c|c|c|c|c|c|}
\hline
Output (Q) & Price (P) & Total Revenue (TR) & Marginal Revenue (MR) & Total Cost (TC) & Marginal Cost (MC) \\
\hline
0 & 17 & 0 & - & 10 & - \\
\hline
1 & 16 & 16 & 16 & 18 & 8 \\
\hline
2 & 15 & 30 & 14 & 23 & 5 \\
\hline