Business Math Problem

Question

A dairy cooperative has 1700 gallons of whole milk (containing 3.3% milk fat) and 1820 gallons of skim milk (containing 0.1% milk fat). It will mix some of this milk to produce low-fat milk (containing at most 2.1% milk fat). Whole milk will be sold for $1.90 per gallon, low-fat milk for $1.95 per gallon, and skim milk for $1.85 per gallon. At least 1400 gallons of skim milk must be sold. If the cooperative wishes to maximize revenue, how much milk should be sold directly and how much should be mixed into low-fat milk?

Answer 1

this is a linear programming problem. graph the inequalities. shade in the solution area

check the vertices of the shaded polygon to see which maximizes the objective function