Question
Cornerstone Exercise 20.3 (Algorithmic) Constrained Optimization: One Internal Binding Constraint Patz Company produces two types of machine parts: Part A and Part B, with unit
Cornerstone Exercise 20.3 (Algorithmic) Constrained Optimization: One Internal Binding Constraint Patz Company produces two types of machine parts: Part A and Part B, with unit contribution margins of $500 and $1,000, 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 500 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 = $500 A + $1,000 B 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.
Identify the total contribution margin associated with this mix. $ 3. What if market conditions are such that Patz can sell at most 125 units of Part A and 100 units of Part B? Express the objective function with its associated constraints for this case. Objective function: Max Z = $500 A + $1,000 B
Identify the optimal mix and its associated total contribution margin. $ |
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