Linear programming and business applications

Suzuki Robotics (SR) manufactures two lightweight robots designed for easier house-cleaning. The Alpha- ONE model is older, heavier, and is designed for carpet cleaning. The Alpha-TWO model is newer, lighter, and is designed primarily for wooden floor cleaning. SR produces the components for both models at its Indiana plant. Each Alpha-ONE model requires 3 hours of manufacturing time and each Alpha-TWO model requires 4 hours of manufacturing time. The Indiana plant has 1000 hours of robot manufacturing time available for the next production period. The frames for each model are obtained from a third-party supplier, who can supply as many Alpha-ONE frames as needed. However, Alpha-TWO frame is newer and lighter, and the supplier can only provide up to 300 Alpha-TWO frames for the next production period. Final assembly and testing require 3 hours for each Alpha-ONE model and 2 hours for each Alpha-TWO model. Maximum of 600 hours of assembly and testing time are available for the next production period. The company's accounting department projects a profit contribution of $300 for each Alpha-ONE model produced and $250 for each Alpha-TWO model produced. Formulate a linear programming model that can be used to determine the number of units of each model that should be produced in order to maximize the total contribution to profit. Write your linear program Equations below