These problems are from Linear Programming (Optimization) 2 Examples Minimize & Maximize (YouTube)
Watch the video. It has great explanations.
A company produces two types of bicycles. A mountain bike and a road bike. It takes 3 hours to assemble a mountain bike and 4 hours to assemble a road bike. The total time to assemble bikes is 60 hours. The company wants to have at least twice as many mountain bikes as road bikes to sell. The company makes a profit of $200 per road bike and $100 for mountain bikes. How many of each bike should made to maximize profit?
Object Function
z = 2x + 3y
minimize z
Constraints
x >= 0
y >= 0
3x + 6y >= 24
y >= -3x + 9