Problem
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?
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.