Questions: Q FC VC TC AVC ATC ATC MC ------------------------ 0 units 16,500.00 0.00 80 units 16,500.00 16,000.00 160 units 16,500.00 30,000.00 240 units 16,500.00 42,000.00 320 units 16,500.00 52,000.00 400 units 16,500.00 60,000.00 480 units 16,500.00 66,000.00 560 units 16,500.00 74,000.00 640 units 16,500.00 84,000.00 720 units 16,500.00 96,000.00 800 units 16,500.00 110,000.00 880 units 16,500.00 126,000.00 960 units 16,500.00 144,000.00

Q  FC  VC  TC  AVC  ATC  ATC  MC
------------------------
0 units  16,500.00  0.00     
80 units  16,500.00  16,000.00     
160 units  16,500.00  30,000.00     
240 units  16,500.00  42,000.00     
320 units  16,500.00  52,000.00     
400 units  16,500.00  60,000.00     
480 units  16,500.00  66,000.00     
560 units  16,500.00  74,000.00     
640 units  16,500.00  84,000.00     
720 units  16,500.00  96,000.00     
800 units  16,500.00  110,000.00     
880 units  16,500.00  126,000.00     
960 units  16,500.00  144,000.00
Transcript text: as dollars and cents in all cells! It is OK to write on this page. as dollars and cents in all cells! It is OK to write on this page. \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline Q & FC & VC & TC & AVC & \multicolumn{2}{c|}{ ATC } & \multirow{2}{*}{ MC } \\ \hline 0 units & $\$ 16,500.00$ & $\$ 0.00$ & & & \\ \hline 80 units & $\$ 16,500.00$ & $\$ 16,000.00$ & & & & \\ \hline 160 units & $\$ 16,500.00$ & $\$ 30,000.00$ & & & & \\ \hline 240 units & $\$ 16,500.00$ & $\$ 42,000.00$ & & & & \\ \hline 320 units & $\$ 16,500.00$ & $\$ 52,000.00$ & & & & \\ \hline 400 units & $\$ 16,500.00$ & $\$ 60,000.00$ & & & & \\ \hline 480 units & $\$ 16,500.00$ & $\$ 66,000.00$ & & & & \\ \hline 560 units & $\$ 16,500.00$ & $\$ 74,000.00$ & & & & \\ \hline 640 units & $\$ 16,500.00$ & $\$ 84,000.00$ & & & & \\ \hline 720 units & $\$ 16,500.00$ & $\$ 96,000.00$ & & & & \\ \hline 800 units & $\$ 16,500.00$ & $\$ 110,000.00$ & & & & \\ \hline 880 units & $\$ 16,500.00$ & $\$ 126,000.00$ & & & & \\ \hline 960 units & $\$ 16,500.00$ & $\$ 144,000.00$ & & & & & \\ \hline \end{tabular}
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Solution

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To fill in the missing values in the table, we need to calculate the Total Cost (TC), Average Variable Cost (AVC), Average Total Cost (ATC), and Marginal Cost (MC) for each quantity (Q) of units produced. Here's how we can do it:

Definitions:
  1. Total Cost (TC): The sum of Fixed Costs (FC) and Variable Costs (VC). \[ TC = FC + VC \]

  2. Average Variable Cost (AVC): The Variable Cost per unit of output. \[ AVC = \frac{VC}{Q} \]

  3. Average Total Cost (ATC): The Total Cost per unit of output. \[ ATC = \frac{TC}{Q} \]

  4. Marginal Cost (MC): The change in Total Cost when one more unit is produced. \[ MC = \frac{\Delta TC}{\Delta Q} \]

Calculations:
For 0 units:
  • TC: \( \$16,500 + \$0 = \$16,500 \)
  • AVC: Not applicable (since Q = 0)
  • ATC: Not applicable (since Q = 0)
  • MC: Not applicable (since Q = 0)
For 80 units:
  • TC: \( \$16,500 + \$16,000 = \$32,500 \)
  • AVC: \( \frac{\$16,000}{80} = \$200 \)
  • ATC: \( \frac{\$32,500}{80} = \$406.25 \)
  • MC: \( \frac{\$32,500 - \$16,500}{80 - 0} = \$200 \)
For 160 units:
  • TC: \( \$16,500 + \$30,000 = \$46,500 \)
  • AVC: \( \frac{\$30,000}{160} = \$187.50 \)
  • ATC: \( \frac{\$46,500}{160} = \$290.625 \)
  • MC: \( \frac{\$46,500 - \$32,500}{160 - 80} = \$175 \)
For 240 units:
  • TC: \( \$16,500 + \$42,000 = \$58,500 \)
  • AVC: \( \frac{\$42,000}{240} = \$175 \)
  • ATC: \( \frac{\$58,500}{240} = \$243.75 \)
  • MC: \( \frac{\$58,500 - \$46,500}{240 - 160} = \$150 \)
For 320 units:
  • TC: \( \$16,500 + \$52,000 = \$68,500 \)
  • AVC: \( \frac{\$52,000}{320} = \$162.50 \)
  • ATC: \( \frac{\$68,500}{320} = \$214.0625 \)
  • MC: \( \frac{\$68,500 - \$58,500}{320 - 240} = \$125 \)
For 400 units:
  • TC: \( \$16,500 + \$60,000 = \$76,500 \)
  • AVC: \( \frac{\$60,000}{400} = \$150 \)
  • ATC: \( \frac{\$76,500}{400} = \$191.25 \)
  • MC: \( \frac{\$76,500 - \$68,500}{400 - 320} = \$100 \)
For 480 units:
  • TC: \( \$16,500 + \$66,000 = \$82,500 \)
  • AVC: \( \frac{\$66,000}{480} = \$137.50 \)
  • ATC: \( \frac{\$82,500}{480} = \$171.875 \)
  • MC: \( \frac{\$82,500 - \$76,500}{480 - 400} = \$75 \)
For 560 units:
  • TC: \( \$16,500 + \$74,000 = \$90,500 \)
  • AVC: \( \frac{\$74,000}{560} = \$132.14 \)
  • ATC: \( \frac{\$90,500}{560} = \$161.61 \)
  • MC: \( \frac{\$90,500 - \$82,500}{560 - 480} = \$100 \)
For 640 units:
  • TC: \( \$16,500 + \$84,000 = \$100,500 \)
  • AVC: \( \frac{\$84,000}{640} = \$131.25 \)
  • ATC: \( \frac{\$100,500}{640} = \$157.03 \)
  • MC: \( \frac{\$100,500 - \$90,500}{640 - 560} = \$125 \)
For 720 units:
  • TC: \( \$16,500 + \$96,000 = \$112,500 \)
  • AVC: \( \frac{\$96,000}{720} = \$133.33 \)
  • ATC: \( \frac{\$112,500}{720} = \$156.25 \)
  • MC: \( \frac{\$112,500 - \$100,500}{720 - 640} = \$150 \)
For 800 units:
  • TC: \( \$16,500 + \$110,000 = \$126,500 \)
  • AVC: \( \frac{\$110,000}{800} = \$137.50 \)
  • ATC: \( \frac{\$126,500}{800} = \$158.125 \)
  • MC: \( \frac{\$126,500 - \$112,500}{800 - 720} = \$175 \)
For 880 units:
  • TC: \( \$16,500 + \$126,000 = \$142,500 \)
  • AVC: \( \frac{\$126,000}{880} = \$143.18 \)
  • ATC: \( \frac{\$142,500}{880} = \$161.93 \)
  • MC: \( \frac{\$142,500 - \$126,500}{880 - 800} = \$200 \)
For 960 units:
  • TC: \( \$16,500 + \$144,000 = \$160,500 \)
  • AVC: \( \frac{\$144,000}{960} = \$150 \)
  • ATC: \( \frac{\$160,500}{960} = \$167.19 \)
  • MC: \( \frac{\$160,500 - \$142,500}{960 - 880} = \$225 \)
Summary:

The table is now filled with the calculated values for TC, AVC, ATC, and MC for each quantity of units produced.

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