Practice Problem 1

Practice 1: Maximize the given objective function within the given constraints:
Objective Function: R(x, y) = 300x + 250y
Constraints: x ≥ 0, y ≥ 0, 2x + 3y ≤ 60, 4x + 3y ≤ 90

Show Vertices:

Finding Maximum Value:

Show Feasible Region:

The maximum value is and it occurs when x = and y =

Practice Problem 2

Practice 2: Minimize the given objective function within the given constraints:
Objective Function: R(x, y) = 5x + y
Constraints: y ≥ 10, x + y ≤ 100, 2x + 5y ≤ 290, 4x + y ≥ 130

Show Vertices:

Finding Minimum Value:

Show Feasible Region:

The minimum value is and it occurs when x = and y =

 

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