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2) (15 points) Formulate, BUT DON'T SOLVE, a math programming model for the following problem. Decision variables should be clearly stated in plain English The manager of a supermarket meat department finds she has 200 lb of ground round, 700 16 of ground chuck, and 150 lb of ground pork in stock on Saturday morning, which she will use to make three products hamburger meat, picnic patties, and meatloaf. These products sell for $3/1b, $2.5/1b, and $2/lb respectively. The demand for each of these products always exceeds the supermarket's supply. Hamburger meat consists of exactly 20% ground round and 60% ground chuck (by weight); picnic patties consist of exactly 20% ground pork and 50% ground chuck, and meatloaf consists of exactly 10% ground round. 30% ground pork and 40% ground chuck. The remainder of each product is a very inexpensive non-meat filler which the store has in unlimited supply. Any leftover ground round, ground chuckor ground pork must be disposed of at a cost of $0.5/lb, silib, and $1.5/lb respectively. How can the manager maximize the net profit of the meat department on Saturday? Decision variables: Objective: Constraints: Variable restrictions