The Pinewood Furniture Company produces chairs and tables from two resources-labor and wood. The company has 80 hours of labor and 36 pounds of wood available each day. Demand for chairs is limited to 6 per day. Each chair requires 8 hours of labor and 2 pounds of wood to product, whereas a table requires 10 hours of labor and 6 pounds of wood. The profit derived from each chair is $400 and from each table, $100. The company wants to determine the number of chairs and tables to produce each day in order to maximize profit.
Formulate a linear programming model for this program.© BrainMass Inc. brainmass.com October 24, 2018, 7:57 pm ad1c9bdddf
This solution contains the formulation in mathematical form and excel form. All the details and step by step solutions are given.
Linear Programming Model to Maximize Profit for a Glassblower
A glassblower makes glass decanters and glass trays on a weekly basic. Each item require 1 pound of glass, and the glassblower has 15 pounds of glass available each week. A glass decanter requires 4 hours of labor, a glass tray requires only 1 hour of labor, and the glassblower works 25 hours a week. The profit from a decanter is $50, and the the profit from a tray is $10. The glassblower want to determine the total number of decanter (x1) and (x2) that he needs to produce in order to maximize his profit.
A Formulate an integer programming model for this problem
B Solve this model by using the computer