(Solved): Please give clear explanation. Thank you so much. = Problem 1. Consider the following optimization ...

Please give clear explanation. Thank you so much.

= Problem 1. Consider the following optimization problem: minimize f(x) = 3x - 12.01 +4.13 - 24.12 subject to: 11 + 12 = 9.666 7 <11 < 24 0 <12 < 8 = a) Solve this problem ignoring all constraints. b) Solve this problem ignoring the inequality constraints. c) Solve this problem considering all the constraints. Make sure to identify the binding constraints. Note: for each part, provide the optimal decision variables (primal variables), optimal ob- jective function, and optimal Lagrange multipliers (dual variables), where appropriate (e.g., if the problem doesn't have constraints, there won't be any dual variables to consider).