1. A manufacturer produces three models of bicycles. The time (in hours) required for assembling, painting, and packaging each model as follows. Model A Model B Model C Assembling 2 5/2 TH W Painting 13/2 2 Packaging 3/4 5/4 The total time available for assembling. painting, and packaging is 4006 hours, 2495 hours and 1500 hours respectively. The profit per unit for each model is P450 (model A). P500 (model B). and P550 (model C). a. Formulate the objective function and constraints. (5points) b. Construct the initial tableau using the simplex method. (5 points) c. Determine the optimal column, leaving variable and pivot number. (5points)