If the numbers of sp² and sp³ hybrid gaming consoles produced each day are denoted as X₁ and X₂ respectively,the function that describes the production department's labor constraint for a week is ________.

A) 2X₁ + 1.5X₂ ≥ 875
B) 9X₁ + 8X₂ ≤ 3500
C) 2X₁ + 1.5X₂ ≤ 875
D) 9X₁ + 8X₂ ≥ 3500

The labor constraint of production department can be derived from the given information as follows:
For producing one sp² model, 2 labor hours are required for production department.
So, for producing X₁ sp² models in a week, the labor hours required by production department will be:
2*7*X₁ = 14X₁
Similarly, for producing one sp³ model,1.5 labor hours are required for production department.
So, for producing X₂ sp³ models in a week, the labor hours required by production department will be:
1.5*7*X₂ = 10.5X₂
Therefore, the production department's labor constraint for a week will be:
14X₁ + 10.5X₂ ≤ total labor hours in a week
= 25*7*5 (as 25 workers work 7 hours per day and company operates 5 days per week)
= 875
So, the correct choice is C.