For this I have selected the topic of production mix. In the marketing, the production mix has been defined as the variety of product that a company produces or sells to its consumers (Kokemuller, 2017). Now the basic goal of the company is to maximize its profit, and to do so the company can use the linear programming model. As it is given in the example, a company named Fifth Avenue Industries, produce four types of ties based on the material, silk, polyester and cotton (Render, 2018). Now, the company has collected the availability and costs of each material to find out for which material, they can maximize its profit.