Problem:
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.
Required:
Question 1) How many wieners and how many buns should be made each week to maximize profit?
Question 2) How many constraints are there in this problem? Provide thorough explanation of the given question.