Let's complete the chart step-by-step based on the given data and then analyze the quantity at which there is a loss.
### Step-by-step Completion:
1. Total Revenue (TR):
Given in the chart:
[tex]\[
\begin{align*}
TR_1 & = \$ 20 \\
TR_2 & = \$ 38 \\
TR_3 & = \$ 54 \\
TR_4 & = \$ 68 \\
TR_5 & = \$ 80 \\
\end{align*}
\][/tex]
2. Total Cost (TC):
Given in the chart:
[tex]\[
\begin{align*}
TC_1 & = \$ 14 \\
TC_2 & = \$ 24 \\
TC_3 & = \$ 39 \\
TC_4 & = \$ 61 \\
TC_5 & = \$ 95 \\
\end{align*}
\][/tex]
3. Profit or Loss (TR - TC):
We calculate the profit or loss for each quantity.
[tex]\[
\begin{align*}
1: & \quad TR - TC = 20 - 14 = 6 \, (\$) \\
2: & \quad TR - TC = 38 - 24 = 14 \, (\$) \\
3: & \quad TR - TC = 54 - 39 = 15 \, (\$) \\
4: & \quad TR - TC = 68 - 61 = 7 \, (\$) \\
5: & \quad TR - TC = 80 - 95 = -15 \, (\$) \\
\end{align*}
\][/tex]
This gives us the completed chart:
[tex]\[
\begin{array}{|c|c|c|c|c|c|c|}
\hline
Quantity & Price & Total Revenue & Marginal Revenue & Total Cost & Marginal Cost & Profit or Loss (TR - TC) \\
\hline
1 & \$ 20 & \$ 20 & & \$ 14 & & 6 \\
\hline
2 & \$ 19 & \$ 38 & & \$ 24 & & 14 \\
\hline
3 & \$ 18 & \$ 54 & & \$ 39 & & 15 \\
\hline
4 & \$ 17 & \$ 68 & & \$ 61 & & 7 \\
\hline
5 & \$ 16 & \$ 80 & & \$ 95 & & -15 \\
\hline
\end{array}
\][/tex]
### Conclusion:
By looking at the "Profit or Loss" column, we see that the business firm is experiencing a loss at a quantity of 5 units, where the profit or loss is [tex]\(-15\)[/tex] dollars. So, the correct output quantity at which the firm is losing money is:
5
