At Taste of Thyme Coffee Shop a Dirty Chai Latte $\le$

At Taste of Thyme coffee shop a dirty chai latte creates a profit point of $2.85 for a small and $3.80 for a large. In a month, 200 small lattes were sold and 285 large lattes. As a fast growing demand item with fall approaching, the demand is estimated at 400 and 420 per month. The allotted machine time for both lattes is 90 hours. The amount of machine time needed to produce the lattes is 5 minutes and 7 minutes each or for a month, 16.67 hours a month for a small and 33.25 hours a month for a large. What is the corresponding parameters formulation for machine time?

A) 5x₁ + 7x₂ $\le$ 90
B) 16.67x₁ + 33.25x₂ $\ge$ 90
C) 2.85x₁ + 3.85x₂ $\le$ 90
D) 16.67x₁ + 33.25x₂ $\le$ 90