Constrained Optimization: One Internal Binding Constraint requires two hours of assembly, and B requires five hours of assembly. The firm has 400 assembly hours per week. Required: 1. Express the objective of maximizing the total contribution margin subject to the assembly-hour constraint. Objective function: MaxZ=$400A+$800B Subject to: A+B 2. Identify the optimal amount that should be produced of each machine part. If none of the components should be produced, enter "0" for your answer. Component A units Component B units Identify the total contribution margin associated with this mix. \$ Objective function: MaxZ=$400A+$800B Assembly-hourconstraintA+B Demand constraint for Part AA Demand constraint for Part B B Identify the optimal mix and its associated total contribution margin. Component A units Required: 1. Express the objective of maximizing the total contribution margin subject to the assembly-hour constraint. Objective function: MaxZ=$400A+$800B Subject to: A+B 2. Identify the optimal amount that should be produced of each machine part. If none of the components should be produced, enter "0" for your answer. Component A units Component B units Identify the total contribution margin associated with this mix. Objective function: MaxZ=$400A+$800B Assembly-hour constraint A+B Demand constraint for Part A A Demand constraint for Part B B Identify the optimal mix and its associated total contribution margin. Component A$ Component B $ units Total contribution