Practical Management Science
5th Edition
ISBN: 9781305250901
Author: Wayne L. Winston, S. Christian Albright
Publisher: Cengage Learning
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Chapter 3, Problem 35P
Summary Introduction
To determine: The way to maximize the profit of the firm using solver.
Introduction: In linear programming, unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints then it is said to be unfeasible solution.
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A Company produces a component for use in the aerospace industry. The component consists of three parts (A, B and C), which are purchased externally and cost 50c, 60c and 70c per piece respectively. Parts A and B are assembled first on assembly line 1, which produces 150 components per hour. Part C undergoes a drilling operation before being finally assembled with the output from assembly line 1. There are six drilling machines in total, but only three are currently operational. Each drilling machine drills part C at a rate of 30 parts per hour. The final assembly line has a production capacity of 100 components per hour. At present, components are produced eight hours a day, five days a week.
If the need arises, management can add a second shift of eight hours for the assembly lines only.
The cost of assembly labour is 40c per assembly operation for each assembly line; the cost of drilling labour is 20c per part. For drilling, the cost of electricity is 10c per part. The overhead cost…
Sawing
20 min/unit
Sanding
20 min/unit
Drilling
32 min/unit
Welding
30 min/unit
Assembly
93 min/unit
Assembly
93 min/unit
Assembly
93 min/unit
A production process is shown in the figure above. The drilling operation occurs
separately from, and simultaneously with the sawing and sanding operations.
Welding starts when both drilling and sanding operations have been completed.
After welding, a product needs to go through only one of the three assembly
operations (the operations are in parallel, where parallel lines perform the exact same
operation). Considering the process times at stations, what is the process time of the
system (in min/unit)?
There is an upstream Picking department that feeds two downstream
Packing departments: Pack Singles and Pack Multis. Those Packing departments feed to a Shipping department that loads the outgoing trucks. 40% of your Pick volume goes to Pack Singles and has a packing rate of 104 units per labor hour (uph). 60% of the Pick volume goes to Pack Multis and has a pack rate of 215 units per labor hour. Your pickers pick both Single and Multi items throughout the day at an overall average rate of 114 units per labor hour. All units that are packed in both processes go through the Ship process at a rate of 570 units per hour. You have 102 people today for all 4 departments and you absolutely must pack 47,880 units in Pack Multis Items to meet a customer promise metric. How do you allocate labor to balance the flow in your department if you work a 10 hour shift? Do not assume breaks or lunches in your answer. Redirect 1: You now need to process all of the Pack Singles Volume in the first 5…
Chapter 3 Solutions
Practical Management Science
Ch. 3.6 - Prob. 1PCh. 3.6 - Prob. 2PCh. 3.6 - Prob. 3PCh. 3.6 - Prob. 4PCh. 3.6 - Prob. 5PCh. 3.6 - Prob. 6PCh. 3.6 - Prob. 7PCh. 3.6 - Prob. 8PCh. 3.6 - Prob. 9PCh. 3.7 - Prob. 10P
Ch. 3.7 - Prob. 11PCh. 3.7 - Prob. 12PCh. 3.7 - Prob. 13PCh. 3.7 - Prob. 14PCh. 3.7 - Prob. 15PCh. 3.7 - Prob. 16PCh. 3.7 - Prob. 17PCh. 3.8 - The Pigskin Company produces footballs. Pigskin...Ch. 3.8 - The Pigskin Company produces footballs. Pigskin...Ch. 3.8 - The Pigskin Company produces footballs. Pigskin...Ch. 3.8 - Prob. 21PCh. 3.8 - Prob. 22PCh. 3.8 - Prob. 23PCh. 3.8 - Prob. 24PCh. 3 - Prob. 25PCh. 3 - Prob. 26PCh. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - Prob. 29PCh. 3 - Prob. 30PCh. 3 - Prob. 31PCh. 3 - Prob. 32PCh. 3 - Prob. 33PCh. 3 - Prob. 34PCh. 3 - Prob. 35PCh. 3 - Prob. 36PCh. 3 - Prob. 37PCh. 3 - Prob. 38PCh. 3 - Prob. 39PCh. 3 - Prob. 40PCh. 3 - Prob. 41PCh. 3 - Prob. 42PCh. 3 - Prob. 43PCh. 3 - Prob. 44PCh. 3 - Prob. 45PCh. 3 - Prob. 46PCh. 3 - Prob. 47PCh. 3 - Prob. 48PCh. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - Prob. 51PCh. 3 - Prob. 52PCh. 3 - Prob. 1CCh. 3 - Prob. 2.1CCh. 3 - Prob. 2.2CCh. 3 - Prob. 2.3CCh. 3 - Prob. 2.4CCh. 3 - Prob. 2.5CCh. 3 - Prob. 2.6CCh. 3 - Prob. 2.7CCh. 3 - Prob. 2.8C
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