please inlcude any work done for this problem

Problem 3) ABC Manufacturing produces two models of bicycles (Models A & B). Both models use a slightly different frame, which is manufactured at the Worthington Manufacturing facility. The frames require the following amounts of manufacturing time in the Fabricating Department: Model A requires 1.2 hours per frame and Model B requires 2.8 hours per frame. The Fabricating Department has 900 labor hours maximum available during the next production period. In addition, Model A requires 42 minutes per bicycle in the Final Assembly Department and Model B requires 56 minutes per bicycle in the Final Assembly Department. The Final Assembly Department has 1,050 labor hours maximum available during the next production period. The high-tech wheels for each model (2 per bicycle) are identical and are purchased from a sole supplier with limited capacity. This supplier can supply a maximum of 3,233 wheels next production period. The VP of Marketing has specified that the amount of Model B produced must be at least as much as the amount of Model A produced. Worthington earns the following profit from each bicycle sold: A = $400 & B =$450. Formulate a linear programming problem to maximize profits next period. Use the headings listed below in your model formulation: Decision Variables Objective Function Constraints Additional Work for Constraints