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Cornerstones of Cost Management 2nd Edition by Don Hansen ,Maryanne Mowen
Edition 2ISBN: 978-1111824402Cornerstones of Cost Management 2nd Edition by Don Hansen ,Maryanne Mowen
Edition 2ISBN: 978-1111824402 Exercise 34
Constrained Optimization: Multiple Internal Constraints
Fisher Company produces two types of components for airplanes: A and B, with unit contribution margins of $400 and $600, respectively. The components pass through three sequential processes: cutting, welding, and assembly. Data pertaining to these processes and market demand are given below (weekly data).
Required:
1. Express Fisher Company's constrained optimization problem as a linear programming model.
2. Using a graphical approach, solve the linear programming model expressed in Requirement 1. Which constraints are binding?
3. What if Fisher Company had 10 additional machine hours (cutting) with all other resources held constant? What is the new optimal mix and associated total contribution margin? What is the incremental benefit per machine hour caused by the additional five hours, if any?
Fisher Company produces two types of components for airplanes: A and B, with unit contribution margins of $400 and $600, respectively. The components pass through three sequential processes: cutting, welding, and assembly. Data pertaining to these processes and market demand are given below (weekly data).
Required:
1. Express Fisher Company's constrained optimization problem as a linear programming model.
2. Using a graphical approach, solve the linear programming model expressed in Requirement 1. Which constraints are binding?
3. What if Fisher Company had 10 additional machine hours (cutting) with all other resources held constant? What is the new optimal mix and associated total contribution margin? What is the incremental benefit per machine hour caused by the additional five hours, if any?
Explanation
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Cornerstones of Cost Management 2nd Edition by Don Hansen ,Maryanne Mowen
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