Two or more essences out of a stock of five essences-- L, M, N, O, and P are used in making all perfumes by a manufacturer. He has learned that for a blend of essences to be agreeable it should comply with all the rules listed below.
- A perfume containing L, should also contain the essence N, and the quantity of N should be twice as that of L.
- A perfume containing M, must also have O as one of its components and they should be in equal proportion.
- A single perfume should never contain N as well as O.
- O and P should not be used together.
- A perfume containing the essence P should contain P in such a proportion that the total amount of P
present should be greater than the total amount of the other essence or essences used.