Topic 2 Class Exercise 1. Par, Inc., 1s a small manufacturer of golf equipment and supplies whose management has decided to move into the market for medium- and high-priced golf bags. Par, Inc.'s distributor has agreed to buy all the golf bags Par, Inc., produces over the next three months. Each golf bag produced will require the four departmental operations. Par, Inc.'s production is constrained by a limited number of hours available in each department. The production information is summarized in the following table. _ Production Time (hours) Standard Bag Department (S) Deluxe Bag (D) Luttlng and Dyeing 7/10 The director of manufacturing estimated the following availability for the next three months of golf bags production: * 630 hours for cutting and dyeing * 600 hours for sewing * 708 hours for finishing * 135 hours for inspection and packaging The accounting department analyzed the production data and arrived at prices for both bags that will result in a profit contribution] of $10 for every standard bag and $9 for every deluxe bag produced. Now, let us now develop a mathematical model of the Par, Inc., problem that can be used to determine the number of standard bags and the number of deluxe bags to produce in order to maximize total profit contribution. Decision Variables Objective function Parameters Constraints LP model