Hоney Perfumery is а new stаrtup thаt emphasizes lоw-waste prоduction of perfume from locally-sourced fragrance oils. Each week, Honey can purchase up to 80 gallons of lavender oil, at $3/gallon, and up to 65 gallons of vanilla oil, at $4/gallon, from its suppliers. To reduce waste, Honey makes their Floral Perfume and Warm Perfume at the same time. Each standard perfume can then be made into a premium version. 3 gallons of Lavender Oil and 2 gallons of Vanilla Oil are blended and separated to make 4 gallons of Floral Perfume and 1 gallon of Warm Perfume, using 5 hours of labor 2.5 gallons of Floral Perfume and .5 gallon of Lavender Oil can be blended and distilled to make 2 gallons of Premium Floral Perfume, using 1 hour of labor 3 gallons of Warm Perfume and 1 gallon of Vanilla Oil can be blended and distilled to make 3.5 gallons of Premium Warm Perfume, using 1 hour of labor Due to demand for luxury items, Honey Perfumery should make at least 15 gallons total of premium perfumes (including Floral and Warm) each week. 100 hours of labor are available each week. (Standard) Floral Perfume sells for $15 per gallon, Premium Floral Perfume sells for $31 per gallon, (Standard) Warm Perfume sells for $18 per gallon, and Premium Warm Perfume sells for $37 per gallon. Assume all perfume made can be sold. Write a linear program to help Honey Perfumery maximize their weekly profit. Be sure to briefly describe decision variables, objective, and constraints in words.