Constrained Optimization: One Internal Binding Constraint Patz Company produces two types of machine parts: Part A and Part B, with unit contribution margins of $300 and $600, respectively. Assume initially that Patz can sell all that is produced of either component. Part A requires two hours of assembly, and B requires five hours of assembly. The firm has 300 assembly hours per week Required: 1. Express the objective of maximizing the total contribution margin subject to the assembly-hour constraint. Objective function: Max Z $300 A $600 B Subject to: 2. Identify the optimal amount that should be produced of each machine part. If none of the components should be produced, enter "DO" for your answer Component A Component B Identify the total contribution margin associated with this mix A + units units 3. What if market conditions are such that Patz can sell at most 75 units of Part A and 60 units of Part B? Express the objective function with its associated constraints for this case Objective function: Max Z$300 A $600 B Assembly-hour constraint Demand constraint for Part A Demand constraint for Part B Identify the optimal mix and its associated total contribution margin. Component A Component B Total contribution A S units units