Constrained Optimization: One Internal Binding Constraint Patz Company produces two types of machine parts: Part A and Part B, with unit contribution margins of $400 and $800, respectively. Assume initially that Patz can sell all that is produced of either component. Part A requires two hours of assembly, and 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: Max Z = 5400 A + $800 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 "o" for your answer. BS Component A units Component B units Identify the total contribution margin associated with this mix. 3. What if market conditions are such that Patz can sell at most 100 units of Part A and 80 units of Part B? Express the objective fun function with its associated constraints for this case. Objective function: Max 2 = $400 A + $800 B A+ BS AS Assembly-hour constraint Demand constraint for Part A Demand constraint for Part 8 Identify the optimal mix and its associated total contribution margin. Component AS units BS Component BS units Total contribution