Determine the minimum number of standard-length

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Reference no: EM13961394

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

Length

Quantity

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.

Reference no: EM13961394

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