PC 656 Computer and Communication Skills

2. Let x₁ = number of part 1 produced per day and
x_{2 =} number of part 2 produced per day
Our objective function is to maximize Z = minimum(x_1, x₂)

Let y = minimum of (x_1, x₂), where y represents the number of completed assembilies. So
x₁ >= y and x₂ >= y

Maximize Z = y

Subject to:

4x₁ + 3x₂ <= 480
3x₁ + 5x2 <= 480
x₁ - 2x2 <= 30
-x₁ + 2x2 <= 30
x₁ - y >= 0
x₂ - y >= 0

x₁, x₂ and y >= 0