A construction company buys lumber in 8-foot and 14-foot board lengths. Each 8-foot board is cut into one 5-foot and one 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 one hundred and twenty-five 3-foot lengths to complete a project. Find the number of 8-foot boards and 14-foot boards that will be both nonzero and sufficient for the project.

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