A manufacturer produces three models of bicycles. The table shows the times (in hours) required for assembling, painting, and packaging each model. Model A Model B Model C Assembling 2 2.5 3 Painting 1.5 2 1 Packaging 1 0.75 1.25 The total times available for assembling, painting, and packaging are 4006 hours, 2495 hours, and 1500 hours, respectively. The profits per unit are $45 for model A, $50 for model B, and $55 for model C. Using the simplex method, find the number of bicycles of each model the manufacturer should produce to obtain a maximum profit (show all workings)