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Sagot :
To determine which company will offer the best price for window cleaning services based on the number of windows, we need to look at the total cost each company charges for different quantities of windows. Here is a detailed table showing the costs for "Sunshine Express" and "Pane"less for various numbers of windows:
[tex]\[ \begin{array}{|c|c|c|c|} \hline \text{Number of Windows, N} & \text{Cost, C, for "Sunshine Express"} & \text{} & \text{Cost, C, for "Pane"less} \\ \hline 0 & 50 & & 25 \\ \hline 1 & 60 & & 40 \\ \hline 2 & 70 & \nabla & 55 & V \\ \hline 3 & 80 & V & 70 & \checkmark \\ \hline 4 & 90 & \checkmark & 85 & \nabla \\ \hline \ldots & \ldots & \ldots & \ldots & \ldots \\ \hline N & & & & \\ \hline \end{array} \][/tex]
From the table, we can see the cost for each number of windows cleaned as follows:
1. For 0 windows:
- "Sunshine Express" charges [tex]$50. - "Pane"less charges $[/tex]25.
- Better option: Pane"less.
2. For 1 window:
- "Sunshine Express" charges [tex]$60. - "Pane"less charges $[/tex]40.
- Better option: Pane"less.
3. For 2 windows:
- "Sunshine Express" charges [tex]$70. - "Pane"less charges $[/tex]55.
- Better option: Pane"less.
4. For 3 windows:
- "Sunshine Express" charges [tex]$80. - "Pane"less charges $[/tex]70.
- Better option: Pane"less.
5. For 4 windows:
- "Sunshine Express" charges [tex]$90. - "Pane"less charges $[/tex]85.
- Better option: Pane"less.
Based on these calculated values, "Pane"less is the better company to hire for any amount of windows from 0 to 4 due to their lower costs.
[tex]\[ \begin{array}{|c|c|c|c|} \hline \text{Number of Windows, N} & \text{Cost, C, for "Sunshine Express"} & \text{} & \text{Cost, C, for "Pane"less} \\ \hline 0 & 50 & & 25 \\ \hline 1 & 60 & & 40 \\ \hline 2 & 70 & \nabla & 55 & V \\ \hline 3 & 80 & V & 70 & \checkmark \\ \hline 4 & 90 & \checkmark & 85 & \nabla \\ \hline \ldots & \ldots & \ldots & \ldots & \ldots \\ \hline N & & & & \\ \hline \end{array} \][/tex]
From the table, we can see the cost for each number of windows cleaned as follows:
1. For 0 windows:
- "Sunshine Express" charges [tex]$50. - "Pane"less charges $[/tex]25.
- Better option: Pane"less.
2. For 1 window:
- "Sunshine Express" charges [tex]$60. - "Pane"less charges $[/tex]40.
- Better option: Pane"less.
3. For 2 windows:
- "Sunshine Express" charges [tex]$70. - "Pane"less charges $[/tex]55.
- Better option: Pane"less.
4. For 3 windows:
- "Sunshine Express" charges [tex]$80. - "Pane"less charges $[/tex]70.
- Better option: Pane"less.
5. For 4 windows:
- "Sunshine Express" charges [tex]$90. - "Pane"less charges $[/tex]85.
- Better option: Pane"less.
Based on these calculated values, "Pane"less is the better company to hire for any amount of windows from 0 to 4 due to their lower costs.
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