Consider the following linear programming (LP) model

Maximize, Z = 600x₁ + 700x₂

Subjected to

6x₁ + 10x₂ ≤ 60

7x₁ + 12x₂ ≤ 84

6x₁ + 8x₂ ≤ 48

X₁, x₂, ≥ 0
The optimal value of the solution is _______

Enter numerical value using the virtual keypad. Round off where necessary.