Model 12: Alloy (Blending)

A company desires to blend a new alloy of 40 percent tin, 35 percent zinc, and 25 percent lead from several available allows having the following properties:

	Alloy
Property	1	2	3	4	5
Percentage tin	60	25	45	20	50
Percentage zinc	10	15	45	50	40
Percentage lead	30	60	10	30	10
Cost ($/lb)	19	17	23	21	25

The objective is to determine the proportions of these alloys that should be blended to produce the new alloy at a minimum cost. Formulate the linear programming model for this problem.