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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