Constrained Optimization: One Internal Binding Constraint Wetzel Company produces two types of machine parts: Part A and Part B, with unit contribution margins of $200 and $400, respectively. Assume initially that Wetzel 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 200 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 = $200 A + $400 B Subject to: 2 A+ 5 BS 200 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. Component A 100 units Component B o units Identify the total contribution margin associated with this mix. $ 20,000 3. What if market conditions are such that Wetzel can sell at most 50 units of Part A and 40 units of Part B? Express the objective function with its associated constraints for this case. Objective function: Max Z = $200 A + $400 B Assembly-hour constraint 50 X A+ 20 X BS 200 Demand constraint for Part A AS 50 Demand constraint for Part B BS 40 Identify the optimal mix and its associated total contribution margin. Component A $ 50 units Component B $ 20 units Total contribution $ 18,000