Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
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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, the unbounded solution would occur when the objective function is infinite. If no solution satisfied the constraints, then it is said to be an 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)?
Knott's Berry Farm is contemplating buying a new van for its operations. The farm's engineering
staff has researched the market and found 2 units that appear to meet their requirements. Truck
# 1 has a cost of $37,000 and requires an annual maintenance cost of $2,700. At the end of its useful
life (3 years), it is projected to have a salvage value of $5,000. On the other hand, Truck #2 has an
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The Engineering Department has determined that no significant changes are needed in the future
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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. 1C
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