Ace Lumber and Building Supply in Andover, Maryland, has received the following order for standard 1x12 boards to be cut in three lengths
Order for 1x12 Boards
7 ft 700
9 ft 1200
10 ft 300
The company maintains 1x12 boards in 25-foot standard-length in stock. Therefore, the 25-foot boards must be cut into the lengths necessary to meet the order requirements. The company wishes to minimize the number of standard-length boards used to satisfy this order.
a. Formulate a linear programming model that can be used to determine the minimum number of standard-length (25-foot) boards to cut in completing this order.
b. Determine the optimal solution including the total number of boards used.© BrainMass Inc. brainmass.com October 15, 2018, 1:08 pm ad1c9bdddf - https://brainmass.com/math/optimization/linear-programming-optimal-solutions-ace-lumber-78145
LP is used to find an optimal solution. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.