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The problem asks for the minimum value of the function \( f(x, y) = 8x + 5y \), subject to the following system of inequalities:

\[
x + 2y \geq 8, \quad x + y \geq 6, \quad x \geq 0, \quad y \geq 0
\]

This is a linear programming problem where we need to minimize \( f(x, y) = 8x + 5y \) under the given constraints. 

### Steps to solve the problem:

1. **Graph the system of inequalities**:
   We graph the inequalities \( x + 2y \geq 8 \), \( x + y \geq 6 \), \( x \geq 0 \), and \( y \geq 0 \) on the coordinate plane. The feasible region is the area where all these inequalities overlap.

2. **Find the corner points

Nilai minimum f(x,y) = 8x + 5y yang memenuhi sistem pertidaksamaan linier x + 2y ≥ 8, x + y ≥ 6, x ≥ 0, dan y ≥ 0 adalah....

Find the minimum value of f(x, y) = 8x + 5y subject to the constraints x + 2y ≥ 8, x + y ≥ 6, x ≥ 0, and y ≥ 0. This linear programming problem demonstrates optimization techniques in a system of inequalities.

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