The problem below involves three variables. Solve it with the simplex method, Excel, or some other technology. Patio Iron makes wrought iron outdoor dining tables, chairs, and stools. Each table uses 8 feet of a standard width wrought iron, 2 hours of labor for cutting and assembly, and 2 hours of labor for detail and finishing work. Each chair uses 6 feet of the wrought iron, 2 hours of cutting and assembly labor, and 1.5 hours of detail and finishing labor. Each stool uses 1 foot of the wrought iron, 1.5 hours for cutting and assembly, and 0.5 hour for detail and finishing work, and the daily demand for stools is at most 16. Each day Patio Iron has available at most 164 feet of wrought iron, 72 hours for cutting and assembly, and 50 hours for detail and finishing. The profits are $60 for each dining table, $48 for each chair, and $36 for each stool. Suppose Patio Iron wants to maximize its profits each day by making dining tables, chairs, and stools. Let x be the number of dining tables, y be the number of chairs, and z be the number of stools made each day. Let f be the maximum profit (in dollars). Form the profit equation that needs to be maximized.
The problem below involves three variables. Solve it with the simplex method, Excel, or some other technology. Patio Iron makes wrought iron outdoor dining tables, chairs, and stools. Each table uses 8 feet of a standard width wrought iron, 2 hours of labor for cutting and assembly, and 2 hours of labor for detail and finishing work. Each chair uses 6 feet of the wrought iron, 2 hours of cutting and assembly labor, and 1.5 hours of detail and finishing labor. Each stool uses 1 foot of the wrought iron, 1.5 hours for cutting and assembly, and 0.5 hour for detail and finishing work, and the daily demand for stools is at most 16. Each day Patio Iron has available at most 164 feet of wrought iron, 72 hours for cutting and assembly, and 50 hours for detail and finishing. The profits are $60 for each dining table, $48 for each chair, and $36 for each stool. Suppose Patio Iron wants to maximize its profits each day by making dining tables, chairs, and stools. Let x be the number of dining tables, y be the number of chairs, and z be the number of stools made each day. Let f be the maximum profit (in dollars). Form the profit equation that needs to be maximized.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The problem below involves three variables. Solve it with the simplex method, Excel, or some other technology.
Patio Iron makes wrought iron outdoor dining tables, chairs, and stools. Each table uses 8 feet of a standard width wrought iron, 2 hours of labor for cutting and assembly, and 2 hours of labor for detail and finishing work. Each chair uses 6 feet of the wrought iron, 2 hours of cutting and assembly labor, and 1.5 hours of detail and finishing labor. Each stool uses 1 foot of the wrought iron, 1.5 hours for cutting and assembly, and 0.5 hour for detail and finishing work, and the daily demand for stools is at most 16. Each day Patio Iron has available at most 164 feet of wrought iron, 72 hours for cutting and assembly, and 50 hours for detail and finishing. The profits are $60 for each dining table, $48 for each chair, and $36 for each stool.
Suppose Patio Iron wants to maximize its profits each day by making dining tables, chairs, and stools.
Let x be the number of dining tables, y be the number of chairs, and z be the number of stools made each day.
Let f be the maximum profit (in dollars). Form the profit equation that needs to be maximized.
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