The graph of the function P(x) = −0.34x2 + 12x + 62 is shown. The function models the profits, P, in thousands of dollars for a tire company, where x is the number of tires produced, in thousands: If the company wants to keep its profits at or above $75,000, then which constraint is reasonable for the model?
A) −4.57 ≤ x ≤ 39.87
B) 1.12 ≤ x ≤ 34.18
C) −4.57 ≤ x ≤ 1.12 and 34.18 ≤ x ≤ 39.87
D) 0 ≤ x < 1.12 and 34.18 < x ≤ 39.87