Decision Systems and Statistics

The sm completely food company gobblers, Inc. is trying to uprise various Mexi ass food products and attempt to distribute them to a chain of grocery stores located in Texas and new-fangled Mexico named Hesperian Foods. Both products are love apple salsa, as they both adjudge different blends of love applees. As a company attempting to aid Toms Inc., we attempted to excogitate a linear programming model that will cooperate Toms to envision the mix of salsa products that will entrust them to maximize their arrive at contribution. We beginning thought that the formula for maximizing mesh was 1.64X1 + 1.93Y (X1 being westward Foods, and Y being Mexico city Salsa). We realized that this was not profits; rather it was the tax tax income of the company. Therefore, we essential to find our constraints and the cost of all the products such as the love applees, act, and paste before we could find prohibited maximizing profit formula. The Western Foods generic store sa lsa contains 50% whole tomatoes, 30% tomato sauce and 20% tomato paste. The Mexico City Salsa contains 70% whole tomatoes, 10% tomato sauce and 20% tomato paste. For their current production period, Toms, Inc. can only obtain up to 280 pounds of whole tomatoes, 130 pounds of tomato sauce and cytosine pounds of tomato paste. The following formulas are our constraints: exclusively Tomatoes: 5X+ 7Y