Weenies and Buns is a food processing plant that manufactures gourmet hot dogs and buns. They grind their own organic whole grain wheat flour at a maximum rate of 500 lbs/week in their stone grinder. Each bun requires .1 lb of this flour. They purchase 800 lbs of 97% lean, organic pork each week. Each wiener requires 0.25 lb of this pork. All other ingredients in both products are in plentiful supply. The labor available is 6 employees who work 40 hours per week. Each wiener requires 3 minutes of labor to make and each bun requires 2 minutes to make. Each wiener yields a profit of $0.25 and each bun yields a profit of $.125. How many wieners and how many buns should be made each week to maximize profit? How many decision variables are there in this problem?
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