Maximum 2 1. 000 12.500 4. 200 The production process consists of three primary activities : bending and forming . welding and painting . The amount of time in minutes needed to process each product in each department is shown below :` Small Medium Large Available Time Bending forming 0. 4 0. 70.8 23. 400 Welding 0. 6 1. 0 1. 2 23. 400 Painting 1. 4 2. 63. 1 46.800 How many of each type of air compressor should the company produce to maximize profit?" a . Formulate and solve a linear optimization model using the auxiliary variable cells method and write a short memo to the production manager Explaining the sensitivity information . b. Solve the model without the auxiliary variables and explain the relationship between the reduced costs and the shadow prices found in part a