3. Integer Programming A manufacturing firm intends to produce at least 2000 devices on three machines. The minimum lot size on any machine is 500 devices. The following table provides the relevant cost and capacity data. Machine Setup cost Production cost/device Capacity (devices) 300 2 600 2 100 10 800 3 200 1200 Formulate the problem of choosing machines for production and determining the number of devices to be produced by each selected machine so as to minimize total cost as an integer linear program (do not solve the problem!). (15 points)