Assume that each lot of 100 shipping boxes requires 160 pounds of heavy- duty liner board, 20 pounds of finish cardboard, and 4 hours of labor; that each lot of 600 mailing tubes requires 75 pounds of heavy- duty liner board, 40 pounds of finish cardboard, and 3 hours of labor; and that each lot of 100 retail boxes requires 55 pounds of heavy- duty liner board, 70 pounds of finish cardboard, and 5.5 hours of labor. Assume also that the company has available each day 350 pounds of heavy-duty liner board, 190 pounds of finish cardboard, and 17.5 hours of labor. Assume also that the profit on each retail box is $0.08, the profit on each mailing tube is $0.03, and the profit on each shipping box is $0.05. How many lots of each type of item should the company produce in order to maximize its profit?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Assume that each lot of 100 shipping boxes requires 160 pounds of heavy- duty liner board, 20 pounds of finish cardboard, and 4 hours of labor; that each lot of 600 mailing tubes requires 75 pounds of heavy- duty liner board, 40 pounds of finish cardboard, and 3 hours of labor; and that each lot of 100 retail boxes requires 55 pounds of heavy- duty liner board, 70 pounds of finish cardboard, and 5.5 hours of labor. Assume also that the company has available each day 350 pounds of heavy-duty liner board, 190 pounds of finish cardboard, and 17.5 hours of labor. Assume also that the profit on each retail box is $0.08, the profit on each mailing tube is $0.03, and the profit on each shipping box is $0.05. How many lots of each type of item should the company produce in order to maximize its profit?
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