The graph of the function P(x) = −0.74x2 + 22x + 75 is shown. The function models the profits, P, in thousands of dollars for a tech company to manufacture a calculator, where x is the number of calculators produced, in thousands:

If the company wants to keep its profits at or above $175,000, then which constraint is reasonable for the model?

−3.09 ≤ x ≤ 5.6 and 24.13 < x ≤ 32.82
0 ≤ x < 5.6 and 24.13 < x ≤ 32.82
−3.09 ≤ x ≤ 32.82
5.6 ≤ x ≤ 24.13