3. Consider the problem of maximizing the product P = xzjvza subject to restriction x2 +Jf2 = _ Z2 using the Lagrange multi pliertechnique. When solving the svstem corresponding tothis problem, the following relationship between the variables is obtained: A] y: = 2x2 B} 1:2 = 322 C]: x2 = By: DJ 22 = 23:2 4. Consider the following optimization problem: It is desired to know the dimensions of a rectangqu box without a lid of minimum area, which has a capacity of 32 1113 If it is assumed that x, v are the dimensions of the base of the box and h is the height, then the above problem can be solved by optimizing the following objective function: 123:2 + 641 + 6-43,- A] may]. 2 my B] Altair} = W '31 Amy} = W \"I Am y} = W my