(Use MATLAB Optimization Commands (linprog, quadprog, or fmincon).)

What mixture of metals should we use to minimize the cost of the alloy? P.S: Put commands at the beginning of your Matlab code that explains what are the design variables and how you found the cost function and constraints. Also explain how you decide the category of the optimization problem.

Question 4 Use MATLAB Optimization Commands (linprog, quadprog, or fmincon).) There are four metals with the following properties Metal | Density | % Carbon | % Phosphor | Price($/kg) 6500 5800 6200 5900 0.2 0.35 0.15 0.11 0.05 0.015 0.065 2.0 2.5 1.5 2.0 We want to make an alloy with properties in the following range: Range | Density | %Carbon | %Phosphor 0.1 0.3 0.045 0.055 Minimum5950 Maximum6050 What mixture of metals should we use to minimize the cost of the alloy? P.S: Put commands at the beginning of your Matlab code that explains what are the design variables and how you found the cost function and constraints. Also explain how you decide the category of the optimization