daniel moranga:
Adam is making a special perfume, called Dream, for his wife Helen, from two different existing products Spellbound and Bewitched. The composition of Spellbound and Bewitched are given as follows.
Amount (ml) in /100 ml of Spellbound and Bewitched Deer Musk Grapefruit Mercaptan Raspberry Ketone Cost ($/ml) Spellbound 3 7 3 10 Bewitched 10 2 6 8 Helen uses at least 40ml of perfume a year, and requires that there must be at least 3ml Grapefruit Mercaptan and at least 4 ml of Raspberry Ketone in per 100ml of Dream Perfume respectively, but no more than 7.5 ml of Deer Musk in per 100 ml of Dream. Formulate a Linear Programming (LP) model for Adam that minimizes the total cost of producing Dream, while satisfying all constraints