2. Three alternative designs have been created by Snakisco engineers for a new machine that spreads cheese between the crackers in a Snakisco snack. Each machine design has unique total costs (fixed and variable) based on the annual production rate of boxes of these crackers. For the three designs the costs are given below (where x is the annual production rate of boxes of cheese crackers). Variable Costs ($ per x) Fixed Costs Design A $100,000 20.5x Design B $350,000 Design C $600,000 10.5x 8.0x You are asked to do the following: a. Mathematically determine which of the machine designs would be recommended for different levels of annual production of boxes of snack crackers. Management is interested in the production interval of 0 to 150,000 boxes of crackers per year. Over what production volume would each design (A or B or C) be chosen? b. Depict your solution from part a graphically for management to see more easily, include: Accurate total cost lines for each alternative (show line and line equations). Any relevant breakeven, or cross-over points in terms of costs between the alternatives. Ranges of annual production where each alternative is preferred. Clearly label your axes (x per year on the horizontal axis and $ on the vertical axis) and include a caption for your figure.