Make a word problem piecewise function using
y=−0.001 (x−1000)² + 3000 {450≤x≤1550}
y=−0.001(x−3000)² +3000 {2450≤x≤3550}

A company sells a product, and the revenue generated depends on the number of units sold, \(x\). The revenue function is given by two different equations based on the number of units sold:

1. When the number of units sold is between 450 and 1550, the revenue is modeled by the function:

\[
y = -0.001(x - 1000)^2 + 3000
\]

2. When the number of units sold is between 2450 and 3550, the revenue is modeled by the function:

\[
y = -0.001(x - 3000)^2 + 3000
\]

Determine the revenue \(y\) based on the number of units sold \(x\).

Explore how to create word problems using piecewise quadratic functions with detailed examples. This problem involves two different revenue models based on the number of units sold, suitable for high school students studying functions and algebra.

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