Use linear programming methods to find the maximum and use

Question

Linear Programming

Use the information below to answer questions 1 and 2.

You may also use the graph provided if it helps:

1. Use linear programming methods to find the maximum

2. Use linear programming methods to find the minimum

Lagrange Multipliers

For questions 3-6, use the Lagrange Multiplier method for optimization to find the maximum of the function :
f(x) = y₂ - 4x subject to x₂ + y² = 9

3. Write the Lagrange function, L (x, y, λ).

4. Find the system of equations to solve the optimization problem.

5. Find all critical points.

Answer 1

As the given assignment is based Linear Programming Employ the information below to answer questions 1 and 2. You might as well use the graph provided if it assists: 1. Use linear programming methods to discover the maximum 2. Use linear programming methods to discover the minimum Lagrange Multipliers For questions 3-6, use the Lagrange Multiplier technique for optimization to find the maximum of the function: f(x) = y2 - 4x subject to x2 + y2 = 9 3. Make the Lagrange function, L (x, y, ?). 4. Discover the system of equations to answer the optimization problem.