Just make the linear programming model of the next exercise: The maximum profit must be obtained in the manufacture of two products: pants and T-shirts. The first brings a profit of $325 and the second $185 per unit. Each product must go through two processes: manufacturing and finishing. The pants take 2 hours to manufacture and 1 hour to finish, while the shirts require 1.5 hours to manufacture and 3 hours to finish. Each department has 180 and 200 hours respectively

A division of the Winston Furniture Company manufactures dining tables and chairs. Each table requires 40 board feet of wood and 5 labor-hours. Each chair requires 16 board feet of wood and 4 labor-hours. The profit for each table is $45, and the profit for each chair is $26. In a certain week, the company has 3200 board feet of wood available and 520 labor-hours available. How many tables and chairs should Winston manufacture to maximize its profit? tables        chairs     What is the maximum profit?$

Linear programming model

Bata Aerobics manufactures two models of steppers used for aerobic exercises, x number of luxury models and y number of standard models. Manufacturing each luxury model requires 10 lb of plastic and 10 min of labor. Manufacturing each standard model requires 16 lb of plastic and 8 min of labor. The profit for each luxury model is $50, and the profit for each standard model is $35. If 6000 lb of plastic and 60 labor-hours are available for the production of the steppers per day, how many steppers of each model should Bata produce each day in order to maximize its profit? (x, y)  =                What is the optimal profit?$

Muir Manufacturing produces two popular grades of commercial carpeting among its many other products. In the coming production period, Muir needs to decide how many rolls of each grade should be produced in order to maximize profit. Each roll of Grade X carpet uses 50 units of synthetic fiber, requires 25 hours of production time, and needs 20 units of foam backing. Each roll of Grade Y carpet uses 40 units of synthetic fiber, requires 28 hours of production time, and needs 15 units of foam backing. The profit per roll of Grade X carpet is $200, and the profit per roll of Grade Y carpet is $160. In the coming production period, Muir has 3000 units of synthetic fiber available for use. Workers have been scheduled to provide at least 1800 hours of production time (overtime is a possibility). The company has 1500 units of foam backing available for use. What are the binding constraints of the feasible region of the optimal solution?     Constraint 2 only     Constraint 1 only…

A division of a furniture company makes dining tables and chairs.  The tables use 40 board feet and 3 labor hours.  The chairs use 16 board feet and 4 labor hours.  Profit on each table is $30.  The profit on each chair is $25   In a given week the company has 3200 hundred board feet and 520 labor hours available.   How many chairs and how many tables should they manufacture to maximize profit

Bata Aerobics manufactures two models of steppers used for aerobic exercises, x number of luxury models and y number of standard models. Manufacturing each luxury model requires 10 lb of plastic and 10 min of labor. Manufacturing each standard model requires 16 lb of plastic and 8 min of labor. The profit for each luxury model is $35, and the profit for each standard model is $30. If 6000 Ib of plastic and 60 labor-hours are available for the production of the steppers per day, how many steppers of each model should Bata produce each day in order to maximize its profit? (х, у) г What is the optimal profit? $