Problem 4: A canoe manufacturer employs 120 men, each of whom works for up to thirty hours per week. Half are employed in the woodwork department, 20 men work in the plastics department and the remainder are in the finishing department. The company makes a standard canoe, which sells at a profit of OR7, and a deluxe version, which produces a profit of OR10. A standard canoe requires 4.5 hours work in the woodwork department and 2 hours in each of the plastics and finishing departments. The times in the woodwork, the plastics and the finishing departments are 5, 1 and 4 hours respectively for the deluxe canoe. Marketing considerations dictate that not less than one third and not more than two thirds of the canoes made should be the deluxe version. How many hours per week are utilised if the company seeks to maximise its total profit?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 4:
A canoe manufacturer employs 120 men, each of whom works for up to thirty hours per
week. Half are employed in the woodwork department, 20 men work in the plastics
department and the remainder are in the finishing department. The company makes a
standard canoe, which sells at a profit of OR7, and a deluxe version, which produces a
profit of OR10. A standard canoe requires 4.5 hours work in the woodwork department
and 2 hours in each of the plastics and finishing departments. The times in the
woodwork, the plastics and the finishing departments are 5, 1 and 4 hours respectively
for the deluxe canoe.
Marketing considerations dictate that not less than one third and not more than two
thirds of the canoes made should be the deluxe version. How many hours per week are
utilised if the company seeks to maximise its total profit?
Transcribed Image Text:Problem 4: A canoe manufacturer employs 120 men, each of whom works for up to thirty hours per week. Half are employed in the woodwork department, 20 men work in the plastics department and the remainder are in the finishing department. The company makes a standard canoe, which sells at a profit of OR7, and a deluxe version, which produces a profit of OR10. A standard canoe requires 4.5 hours work in the woodwork department and 2 hours in each of the plastics and finishing departments. The times in the woodwork, the plastics and the finishing departments are 5, 1 and 4 hours respectively for the deluxe canoe. Marketing considerations dictate that not less than one third and not more than two thirds of the canoes made should be the deluxe version. How many hours per week are utilised if the company seeks to maximise its total profit?
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