# SOLUTION: A carpenter makes bookcases in two sizes, large and small. It takes 6 hours to make a large bookcase and 2 hours to make a small bookcase. The profit on a large bookcase is \$50 and

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 Click here to see ALL problems on Evaluation Word Problems Question 357716: A carpenter makes bookcases in two sizes, large and small. It takes 6 hours to make a large bookcase and 2 hours to make a small bookcase. The profit on a large bookcase is \$50 and the profit on a small bookcase is \$20. The carpenter can only spend 24 hours per week making bookcases and must make at least two of each size per week. .....i need to find the constraints.Answer by ankor@dixie-net.com(15656)   (Show Source): You can put this solution on YOUR website!A carpenter makes bookcases in two sizes, large and small. let a = no. of large bookcases Let b = no. of small : It takes 6 hours to make a large bookcase and 2 hours to make a small bookcase. "The carpenter can only spend 24 hours per week making bookcases" 6a + 2b =< 24 : The profit on a large bookcase is \$50 and the profit on a small bookcase is \$20. p = 50a + 20b : must make at least two of each size per week. a => 2 b => 2