2. A company has 4 customers, located in Atlanta, Boston, Chicago, and Detroit. The profit margin and expected demand for shipping 1 unit of product to each of these customers is shown in the table below. Unfortunately, the company only has 1200 items in stock, and the equipment to make more is currently broken. They would like to ship each customer somewhere between 50% to 70% of their requested order, so that none of the customers become too angry. They would also like to maximize profits. a. Formulate an LP that represents this problem. (10 points) b. Using Lingo, find a solution to this problem. Upload a copy of the model to Brightspace named lastnameE4lingo. Also upload a screenshot of your model on your computer. (10 points) c. How much profit will they expect to make? (5 points) Locations A B C D Profit 1.6 1.4 1.9 1.2 Demand 620 490 510 380