A high-tech firm produces two different products. The firm has a contract with the government to supply up to 30 units per day of product 1 and up to 15 units per day of product 2. The firm makes an estimated profit per unit of 800 TL for product 1 and 1200 TL for product 2. On the single, specially designed machine, it takes just one minute to produce each unit of product I and two minutes for each product 2. However, due to the delicate nature of the machine, the firm would like to run it no more than 40 minutes per every 24-hour period. The first set of goals of the firm will be that of "market demand", the daily requirements of the government installation. Secondly, the firm aims to have at least 20,000 TL daily profit. The third goal of the firm for the production process is related to the working capacity of the machine. Construct the mathematical model of this lexicographic goal programming problem. (50 points)