Exercise 1. A perfumery produces two scents - lavender and rose. These perfumes are pro- duced via two processes. Process A requires 2 hours of labor and 1 lb of raw material to produce 2 oz of lavender and 1 oz of rose. Process B requires 3 hours of labor and 2 lb of raw material to produce 3 oz of lavender and 2 oz of rose. 60 hours of labor and 40 lb of raw material are available. Demand for lavender is unlimited, but only 20 oz of rose can be sold. Lavender sells for 16 oz, and rose sells for 14 oz. Any unsold rose perfume must be shipped to a vendor in Paris at a cost of 2 oz. Formulate an LP to maximize total sales less shipping costs.
Exercise 1. A perfumery produces two scents - lavender and rose. These perfumes are pro- duced via two processes. Process A requires 2 hours of labor and 1 lb of raw material to produce 2 oz of lavender and 1 oz of rose. Process B requires 3 hours of labor and 2 lb of raw material to produce 3 oz of lavender and 2 oz of rose. 60 hours of labor and 40 lb of raw material are available. Demand for lavender is unlimited, but only 20 oz of rose can be sold. Lavender sells for 16 oz, and rose sells for 14 oz. Any unsold rose perfume must be shipped to a vendor in Paris at a cost of 2 oz. Formulate an LP to maximize total sales less shipping costs.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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![Exercise 1. A perfumery produces two scents – lavender and rose. These perfumes are pro-
duced via two processes. Process A requires 2 hours of labor and 1 lb of raw material to produce
2 oz of lavender and 1 oz of rose. Process B requires 3 hours of labor and 2 lb of raw material
to produce 3 oz of lavender and 2 oz of rose. 60 hours of labor and 40 lb of raw material are
available. Demand for lavender is unlimited, but only 20 oz of rose can be sold. Lavender sells
for 16 oz, and rose sells for 14 oz. Any unsold rose perfume must be shipped to a vendor in
Paris at a cost of 2 oz. Formulate an LP to maximize total sales less shipping costs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb9e27b5d-0ab8-428e-954d-97d64fc14c61%2F1f8f6300-edb2-445d-91aa-7c8178b89be5%2Frvyb98_processed.png&w=3840&q=75)
Transcribed Image Text:Exercise 1. A perfumery produces two scents – lavender and rose. These perfumes are pro-
duced via two processes. Process A requires 2 hours of labor and 1 lb of raw material to produce
2 oz of lavender and 1 oz of rose. Process B requires 3 hours of labor and 2 lb of raw material
to produce 3 oz of lavender and 2 oz of rose. 60 hours of labor and 40 lb of raw material are
available. Demand for lavender is unlimited, but only 20 oz of rose can be sold. Lavender sells
for 16 oz, and rose sells for 14 oz. Any unsold rose perfume must be shipped to a vendor in
Paris at a cost of 2 oz. Formulate an LP to maximize total sales less shipping costs.
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