Answer:
Explanation:
The piecewise function
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c(x) representing the commission structure for sales at Spinner Electronics can be defined as follows:
0.25x & \text{if } 0 \leq x \leq 2500 \\
0.22x & \text{if } 2500 < x \leq 4500 \\
0.20x & \text{if } x > 4500
\end{cases}\]
In this piecewise function:
- For sales (\(x\)) less than or equal to $2,500, the commission rate is 25% of sales (\(0.25x\)).
- For sales (\(x\)) greater than $2,500 and less than or equal to $4,500, the commission rate is 22% of sales (\(0.22x\)).
- For sales (\(x\)) greater than $4,500, the commission rate is 20% of sales (\(0.20x\)).
So, depending on the value of \(x\) (the amount of sales), the function \(c(x)\) calculates the commission accordingly.