Sure, let's solve the problem step-by-step.
### Part (a): Completing the Market Supply Column
To find the market supply, we need to sum the quantity of peaches supplied by Georgia and South Carolina at each price point:
1. At [tex]$10 per pound:
GA supplies: 22,000 pounds
SC supplies: 20,000 pounds
Market supply = GA supply + SC supply = \(22,000 + 20,000 \) = 42,000 pounds
2. At $[/tex]8 per pound:
GA supplies: 18,000 pounds
SC supplies: 17,000 pounds
Market supply = GA supply + SC supply = [tex]\(18,000 + 17,000\)[/tex] = 35,000 pounds
3. At [tex]$6 per pound:
GA supplies: 14,000 pounds
SC supplies: 14,000 pounds
Market supply = GA supply + SC supply = \(14,000 + 14,000\) = 28,000 pounds
4. At $[/tex]4 per pound:
GA supplies: 10,000 pounds
SC supplies: 11,000 pounds
Market supply = GA supply + SC supply = [tex]\(10,000 + 11,000\)[/tex] = 21,000 pounds
5. At [tex]$2 per pound:
GA supplies: 6,000 pounds
SC supplies: 8,000 pounds
Market supply = GA supply + SC supply = \(6,000 + 8,000\) = 14,000 pounds
So the market supply column will be completed as follows:
\[
\begin{array}{|c|c|c|c|}
\hline
& \multicolumn{2}{|c|}{ Quantity of Peaches Supplied (pounds) } \\
\hline
\begin{tabular}{c}
Price \\
(dollars \\
per pound)
\end{tabular}
& GA & SC & Market \\
\hline
\$[/tex] 10 & 22,000 & 20,000 & 42,000 \\
\hline
8 & 18,000 & 17,000 & 35,000 \\
\hline
6 & 14,000 & 14,000 & 28,000 \\
\hline
4 & 10,000 & 11,000 & 21,000 \\
\hline
2 & 6,000 & 8,000 & 14,000 \\
\hline
\end{array}
\]
### Part (b): Market Supply at [tex]$6 per Pound
To determine how many pounds of peaches will be supplied to the market when the price is $[/tex]6 per pound, look at the row corresponding to [tex]$6 in the table:
When the price is $[/tex]6 per pound:
- GA supply = 14,000 pounds
- SC supply = 14,000 pounds
- Market supply = 28,000 pounds
Therefore, the market supply at the price of $6 per pound is 28,000 pounds.
