Minimization of Cost

In Minimization of Cost an example that can help us to explain the procedure of minimizing cost using linear programming simplex method.Assume that a pharmaceutical firm is to produce exactly 40 gallons of mixture in which the basic ingredients, x and y, cost $8 per gallon and $15 per gallon, respectively, No more than 12 gallons of x can be used, and at least 10 gallons of y must be used. The firm wants to minimize cost.