The least possible amount of waste from the cut boards

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Woodco is selling 3-foot, 5-foot, and 9-foot boards from teak wood only on special order basis – and all lengths of boards are the same width and thickness. One of Woodco’s customers, Baker Furniture, has placed an order for 25 3-foot long boards, 20 5-foot long boards, and 15 9-foot long boards. Woodco meets all its customers’ demands by cutting up 17-foot long boards. How can Woodco satisfy Baker Furniture’s demand – that is how many boards must be cut up – with the least possible amount of waste from the cut boards? [NOTE: Any portion of a cut board that is not used to meet Baker Furniture’s order is considered waste.] Provide (1) a linear algebraic formulation (model) for this scenario, (2) complete printout from using TMSv6 to find an optimal solution, and (3) a written statement of the optimal solution.

Reference no: EM131755404

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