Making Robots¶
Problem Definition¶
The company Tetravaal located in Johannesburg manufactures two types of robots, Model \(P_{1}\) and Model \(P_{2}\). The production plant is consisted of four different sections: metal machining, plastic moulding, electrical work and assembly. The metal machining section has a capacity of 7500 units of \(P_{1}\) or 6000 units of \(P_{2}\) per month.
Plastic moulding can process 5000 units of \(P_{1}\) or 9000 units of \(P_{2}\) per month.
Electrical work can process 6000 units of \(P_{1}\) or 7000 units of \(P_{2}\) per month.
In Assembly, there are two assembly lines that work in parallel, one per each robot model.
The first assembly line can process 4000 units of \(P_{1}\) per month
The second assembly line can process 5000 units of \(P_{2}\) per month
Knowing that the unitary profit of \(P_{1}\) is 500€ and that the unitary profit of \(P_{2}\) is 600€, and that both robots have a great demand and therefore all manufactured robots are sold, Michelle Bradley, CEO of Tetravaal, asks his engineering team:
Calculate the number of units of each robot that needs to be manufactured to maximise profit for the company.