Bob is preparing for a party, and he expects lots of hungry guests. He has the...

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Bob is preparing for a party, and he expects lots of hungry guests. He has the following ingredients on hand: AMOUNT ON HAND (ounces) MEAT Turkey Roast Beef Ham 57 62 51 Bob decides make 4 different types of sandwich for the party: Roast Beef, Turkey/Ham, Bob Special, and Turkey. Each sandwich has 4 ounces of meat in total. A Turkey/Ham sandwich is ½ turkey and ½ ham. A Bob special has equal parts of all 3 meats. He has tons of bread and cheese on hand, so the number of sandwiches he can create is limited by the amount of meat he has on hand. Bob wants to create as many sandwiches as possible, while making at least 4 of each type of sandwich. He knows that some of his friends will want to try the Bob special, so he wants to make sure that at least 1/4 of the total number of sandwiches prepared are Bob specials. How many sandwiches of each type should he produce? Prepare an integer programming (linear programming where the decision variables are constrained to be integers) analysis to answer the question. Bob is preparing for a party, and he expects lots of hungry guests. He has the following ingredients on hand: AMOUNT ON HAND (ounces) MEAT Turkey Roast Beef Ham 57 62 51 Bob decides make 4 different types of sandwich for the party: Roast Beef, Turkey/Ham, Bob Special, and Turkey. Each sandwich has 4 ounces of meat in total. A Turkey/Ham sandwich is ½ turkey and ½ ham. A Bob special has equal parts of all 3 meats. He has tons of bread and cheese on hand, so the number of sandwiches he can create is limited by the amount of meat he has on hand. Bob wants to create as many sandwiches as possible, while making at least 4 of each type of sandwich. He knows that some of his friends will want to try the Bob special, so he wants to make sure that at least 1/4 of the total number of sandwiches prepared are Bob specials. How many sandwiches of each type should he produce? Prepare an integer programming (linear programming where the decision variables are constrained to be integers) analysis to answer the question.