To determine the revenue function and the flat fee for delivery, let's analyze the given data:
1. Total Cost Calculation:
- Total cost of the transaction: \[tex]$3000.
- Number of tiles bought: 10,000 tiles.
- Price per tile: \$[/tex]0.25.
2. Cost of Tiles Calculation:
To find the cost of the tiles, we multiply the number of tiles by the price per tile:
[tex]\[
\text{Cost of tiles} = 10000 \times 0.25 = \$2500
\][/tex]
3. Flat Fee Calculation:
To find the flat fee for delivery, we subtract the cost of the tiles from the total cost:
[tex]\[
\text{Flat fee} = 3000 - 2500 = \$500
\][/tex]
4. Revenue Function:
The total revenue [tex]\( y \)[/tex] consists of the cost of tiles and the flat fee. Hence the revenue function in terms of the number of tiles sold [tex]\( x \)[/tex] is given by:
[tex]\[
y = 0.25x + \text{flat fee}
\][/tex]
Given the flat fee of \[tex]$500, the revenue function can be expressed as:
\[
y = 0.25x + 500
\]
To summarize, the function that describes the revenue of the tile factory in terms of tiles sold is:
\[
y = 0.25x + 500
\]
And the flat fee for delivery is:
\[
\text{Flat fee} = \$[/tex]500
\]
