Rylon Corporation manufactures Brute and Chanelle perfumes.
The raw material needed to manufacture each type of perfume can be purchased for $3 per pound.
Processing 1 lb. of raw material requires 1 hour of laboratory time.
Each pound of processed raw material yields 3 oz of Regular Brute Perfume and 4 oz of Regular Chanelle Perfume.
Regular Brute can be sold for $7/oz.
Regular Chanelle can be sold for $6/oz.
Rylon also has the option of further processing Regular Brute and Regular Chanelle to produce Luxury Brute, sold at $18/oz, and Luxury Chanelle, sold at $14/oz.
Each ounce of Regular Brute processed further requires an additional 3 hours of laboratory time and $4 processing cost and yields 1 oz of Luxury Brute.
Each ounce of Regular Chanelle processed further requires an additional 2 hours of laboratory time and $4 processing cost and yields 1 oz of Luxury Chanelle.
Each year, Rylon has 6000 hours of laboratory time available and can purchase up to 4000 lb. of raw material.
Formulate an LP that can be used to determine how Rylon can maximize profits. Abd then using excel solver answer: If you want to make exactly $30000 profit, what the cost would be?