Answer Happy

The Milton Lumber Company sells boards of various lengths (4-foot, 7-foot, and 9-foot wood boards). This company's customers' demand is 30 for 4-foot boards, 25 for 7-foot boards, and 60 for 9-foot boards per week. Milton Lumber cuts up boards of 19 feet in length to meet this demand and wants to determine how to satisfy its customers' demands with a minimal amount of waste. Assume that all boards share the same width and thickness. Formulate and solve an IP model. Length of Boards Number of Boards Needed 4 foot 30 7 foot 25 9 foot 60 a) Define the decision variables (describe your pattern: Example x1 = produce 3 for the 4-foot and 10 for the 9-foot wood board) b) Define the objective function c) Define the constraints d) Determine an optimal solution.