Question

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 10. Each day Patio Iron has available at most 154 feet of wrought iron, 55 hours for cutting and assembly, and 50 hours for detail and finishing. If the profits are $60 for each dining table, $48 for each chair, and $36 for each stool, how many of each item should be made each day to maximize profit?

Answer 1

Now we solve the above LPP using Simplex Method as shown below ---

Hence the Patio Iron should make 12 dinning tables, 8 chairs and 10 stools to maximize its profit. The maximum profit is $ 1464