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Sagot :
Let's address each part of the problem in detail.
Part a: New Supply Quantities
Given the information, we need to find the new quantities supplied at each price point, assuming a decrease in the production cost for lettuce growers. This decrease allows the quantity supplied to double at each price point. Here is the breakdown:
Original Supply Quantities
- At \[tex]$3.00: 180 heads of lettuce - At \$[/tex]2.50: 140 heads of lettuce
- At \[tex]$2.00: 100 heads of lettuce - At \$[/tex]1.50: 60 heads of lettuce
- At \[tex]$1.00: 20 heads of lettuce - At \$[/tex]0.50: 0 heads of lettuce
New Supply Quantities (Doubling of original quantities)
- At \[tex]$3.00: 180 * 2 = 360 heads of lettuce - At \$[/tex]2.50: 140 2 = 280 heads of lettuce
- At \[tex]$2.00: 100 2 = 200 heads of lettuce - At \$[/tex]1.50: 60 2 = 120 heads of lettuce
- At \[tex]$1.00: 20 2 = 40 heads of lettuce - At \$[/tex]0.50: 0 * 2 = 0 heads of lettuce
Now, let's complete the new supply schedule:
\begin{tabular}{|c|c|c|}
\hline
& \multicolumn{2}{|c|}{\begin{tabular}{c}
Quantity of Lettuce \\
Supplied \\
(heads)
\end{tabular}} \\
\hline
\begin{tabular}{c}
Price \\
(dollars)
\end{tabular} & Initial & New \\
\hline
\[tex]$ 3.00 & 180 & 360 \\ \hline \$[/tex] 2.50 & 140 & 280 \\
\hline
\[tex]$ 2.00 & 100 & 200 \\ \hline \$[/tex] 1.50 & 60 & 120 \\
\hline
\[tex]$ 1.00 & 20 & 40 \\ \hline \$[/tex] 0.50 & 0 & 0 \\
\hline
\end{tabular}
Part b: Quantity Supplied at \[tex]$1.50 The problem also asks for the original quantity supplied when the price is \$[/tex]1.50 per head of lettuce.
From the original supply quantities:
- At \[tex]$1.50: 60 heads of lettuce Thus, at a price of \$[/tex]1.50 per head of lettuce, the original quantity supplied was 60 heads of lettuce.
Let's visualize the answers in the table and blanks provided:
1. New Quantities Supplied (part a):
\begin{tabular}{|c|c|c|}
\hline
& \multicolumn{2}{|c|}{\begin{tabular}{c}
Quantity of Lettuce \\
Supplied \\
(heads)
\end{tabular}} \\
\hline
\begin{tabular}{c}
Price \\
(dollars)
\end{tabular} & Initial & New \\
\hline
\[tex]$ 3.00 & 180 & 360 \\ \hline \$[/tex] 2.50 & 140 & 280 \\
\hline
\[tex]$ 2.00 & 100 & 200 \\ \hline \$[/tex] 1.50 & 60 & 120 \\
\hline
\[tex]$ 1.00 & 20 & 40 \\ \hline \$[/tex] 0.50 & 0 & 0 \\
\hline
\end{tabular}
2. Original Quantity Supplied at \[tex]$1.50 (part b): At a price of \$[/tex]1.50 per head of lettuce, the original quantity supplied was 60 heads of lettuce.
By considering the above detailed explanation, you now have a complete understanding and solution to the problem given.
Part a: New Supply Quantities
Given the information, we need to find the new quantities supplied at each price point, assuming a decrease in the production cost for lettuce growers. This decrease allows the quantity supplied to double at each price point. Here is the breakdown:
Original Supply Quantities
- At \[tex]$3.00: 180 heads of lettuce - At \$[/tex]2.50: 140 heads of lettuce
- At \[tex]$2.00: 100 heads of lettuce - At \$[/tex]1.50: 60 heads of lettuce
- At \[tex]$1.00: 20 heads of lettuce - At \$[/tex]0.50: 0 heads of lettuce
New Supply Quantities (Doubling of original quantities)
- At \[tex]$3.00: 180 * 2 = 360 heads of lettuce - At \$[/tex]2.50: 140 2 = 280 heads of lettuce
- At \[tex]$2.00: 100 2 = 200 heads of lettuce - At \$[/tex]1.50: 60 2 = 120 heads of lettuce
- At \[tex]$1.00: 20 2 = 40 heads of lettuce - At \$[/tex]0.50: 0 * 2 = 0 heads of lettuce
Now, let's complete the new supply schedule:
\begin{tabular}{|c|c|c|}
\hline
& \multicolumn{2}{|c|}{\begin{tabular}{c}
Quantity of Lettuce \\
Supplied \\
(heads)
\end{tabular}} \\
\hline
\begin{tabular}{c}
Price \\
(dollars)
\end{tabular} & Initial & New \\
\hline
\[tex]$ 3.00 & 180 & 360 \\ \hline \$[/tex] 2.50 & 140 & 280 \\
\hline
\[tex]$ 2.00 & 100 & 200 \\ \hline \$[/tex] 1.50 & 60 & 120 \\
\hline
\[tex]$ 1.00 & 20 & 40 \\ \hline \$[/tex] 0.50 & 0 & 0 \\
\hline
\end{tabular}
Part b: Quantity Supplied at \[tex]$1.50 The problem also asks for the original quantity supplied when the price is \$[/tex]1.50 per head of lettuce.
From the original supply quantities:
- At \[tex]$1.50: 60 heads of lettuce Thus, at a price of \$[/tex]1.50 per head of lettuce, the original quantity supplied was 60 heads of lettuce.
Let's visualize the answers in the table and blanks provided:
1. New Quantities Supplied (part a):
\begin{tabular}{|c|c|c|}
\hline
& \multicolumn{2}{|c|}{\begin{tabular}{c}
Quantity of Lettuce \\
Supplied \\
(heads)
\end{tabular}} \\
\hline
\begin{tabular}{c}
Price \\
(dollars)
\end{tabular} & Initial & New \\
\hline
\[tex]$ 3.00 & 180 & 360 \\ \hline \$[/tex] 2.50 & 140 & 280 \\
\hline
\[tex]$ 2.00 & 100 & 200 \\ \hline \$[/tex] 1.50 & 60 & 120 \\
\hline
\[tex]$ 1.00 & 20 & 40 \\ \hline \$[/tex] 0.50 & 0 & 0 \\
\hline
\end{tabular}
2. Original Quantity Supplied at \[tex]$1.50 (part b): At a price of \$[/tex]1.50 per head of lettuce, the original quantity supplied was 60 heads of lettuce.
By considering the above detailed explanation, you now have a complete understanding and solution to the problem given.
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