PLEASE SOLVED AMPL.

4. iThe Omega Manufacturing Company has discontinued the production of a certain unprofitable product line. This act created considerable excess production capacity. Management is considering devoting this excess capacity to one or more of three products, Product 1,2 and 3 . The available capacity of the machines that might limit output is summarized in the following table. The numbers of machine-hours required for each unit of the respective products are shown in the next table. The sales department indicates that the sales potential for Product 1 and 2 exceeds the maximum production rate and that the sales potential for product 3 is 20 units per week. The unit profit would be $50,$20,$25, respectively, for product 1,2 and 3 . The objective is to determine how much of each product Omega should produce to maximize profit. Please formulate the decision variables, objective function and constraints