he sales department indicates that the sales potential forproducts 1 and 2 exceeds the maximum production rate and thatthe sales potential for product 3 is 20 units per week. The unitprofit would be $50, $20, and $25, respectively, on products 1, 2,and 3. The objective is to determine how much of each product Omega should produce to maximize profit.(a)Formulate a linear programming model for this problem.C(b)Use a computer to solve this model by the simplex method