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Question: Three alternative designs have been created by Snakisco engineers for a new machine that spreads cheese between the crackers in a Snakisco snack. The costs for the three designs (where x is the annual production rate of boxes of cheese crackers) follow:
(a) Managementis interested in the production interval of 0-150,000 boxes of crackers per year. Mathematically determine the production volume over which each design (A or B or C) would be chosen.
(b) Depict your solution from part (a) graphically, clearly labeling your axes and including a title for the graph, so that management can easily see the following:
i. Accurate total cost lines for each alternative (show line, slopes, and line equations).
ii. Any relevant breakeven, or crossover points.
iii. Ranges of annual production where each alternative is preferred.
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