Assume that each filling cabinets requires 55 pounds of steel and 3.5 hours of labor, and that each desk requires 65 pounds of steel and 1.5 hours of labor. Assume also that the manufacturer has available 178 tons of steel and 1200 hours of labor. Assume also that the profit on each desk is $44.00 and the profit on each filling cabinet is $30.00. How many filling cabinets and desks should the manufacturer produce in order to maximize its profit?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.6: Cutting Stock Models
Problem 37P
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Assume that each filling cabinets requires 55 pounds of steel and 3.5 hours of labor, and that each desk requires 65 pounds of steel and 1.5 hours of labor. Assume also that the manufacturer has available 178 tons of steel and 1200 hours of labor. Assume also that the profit on each desk is $44.00 and the profit on each filling cabinet is $30.00. How many filling cabinets and desks should the manufacturer produce in order to maximize its profit?
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