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1. QM Woodwork buys lumber in 8-foot and 14-foot board lengths at a cost of $0.50 per foot for each board. Each 8-foot board is cut into 5-foot and 3-foot length, and each 14-foot board is cut into one 5-foot and three 3-foot lengths. Suppose the company requires at least seventy-five 5-foot lengths and at least one hundred and twenty-five 3-foot lengths to complete a project. (a) Find the combination of 8-foot boards and 14-foot boards that will be sufficient for the project and minimize the cost. (b) How could the costs be further reduced? (c) You should submit the graph and only the table(s) referenced to support your answer. [25 pts]