Lectures - 7.1 Formulation of Linear Programming Problems

Quiz 7.1 #1

Dennis has a health problem, and he decided to go on a health food diet, as recommended by his doctor. He needs to have at least 300mg of vitamin A, 200mg of Vitamin B, and 200mg of vitamin C daily. Each pound of organic lettuce gives 50mg of vitamin A, 30mg of vitamin B, and 20mg of vitamin C, while each pound of organic apple gives 100mg of vitamin A, 50mg of vitamin B, and 40mg of vitamin C. Each pound of lettuce costs $3 and each pound of apple costs $5. How many pounds of each type of organic food should he consume each day to provide the minimum vitamins he needs at the lowest cost?