Question

The equality lines for the following minimization linear programming problem are shown in the graph below: Min 7x + 7y s.t. 20x + 12y ≤ 60 6x + 10y ≥ 30 10x + 10y ≥ 70 x, y ≥ 0.

Answer 1

A minimization linear programming problem with three constraints is given, and the equality lines corresponding to these constraints are shown on a graph.

Step-by-step explanation:

The given problem is a minimization linear programming problem. The objective is to minimize the expression 7x + 7y. The problem has three constraints:

1. 20x + 12y ≤ 60
2. 6x + 10y ≥ 30
3. 10x + 10y ≥ 70

The graph below shows the equality lines corresponding to these constraints. The feasible region, which is the area below and to the right of the lines, represents the set of possible solutions to the problem.