Question: A firm mixes the two inputs Q and R to make a vitamin supplement in liquid form. The inputs Q and R contain the four vitamins A, B, C and D in the following amounts:
6 mg of A, 50 mg of B, 35 mg of C and 12 mg of D per unit of Q
30 mg of A, 25 mg of B, 30 mg of C and 20 mg of D per unit of R
The inputs Q and R cost respectively 5 p and 12 p per unit. Each centilitre of the final product must contain at least 60 mg of A, 100 mg of B, 105 mg of C and 60 mg of D. What is the cheapest way of making the final product? Which vitamins will exceed the minimum requirements per centilitre using this method?