A factory that makes statues is trying to maximize its income. Their two primary products are the Liberty and David statues. Each Liberty requires 60 hours of machine time to rough cut the shape and 80 hours of craftsman time to finish the details. The David requires 80 hours on the machines and 48 hours with the craftsman's hand. The factory is limited each day to 960 hours of machine time and 960 hours of craftsman time. Both use 56 pounds of stone, and the factory has 784 pounds of stone available per day. If each Liberty brings in a profit of fifty-one dollars, and each David brings in fifty-nine dollars, how many statues of each type should the factory make each day?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
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A factory that makes statues is trying to maximize its income. Their two primary products are the Liberty and David statues. Each Liberty requires 60 hours of machine time to rough cut the shape and 80 hours of craftsman time to finish the details. The David requires 80 hours on the machines and 48 hours with the craftsman's hand. The factory is limited each day to 960 hours of machine time and 960 hours of craftsman time. Both use 56 pounds of stone, and the factory has 784 pounds of stone available per day. If each Liberty brings in a profit of fifty-one dollars, and each David brings in fifty-nine dollars, how many statues of each type should the factory make each day?

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