Problem T5-14 Mixed Integer Binary LP. The Gadget Phone Company makes a type of cellular phone and just received an order for 1,500 phones. The phone can be made on either of two machines, or both of them, that each have limited capacities to make the phone. Machine 1 can make up to 1,000 units, and Machine 2 can make up to 800 units of the product. Machine 1 has a variable cost of $100 per phone and a fixed setup cost of $800. Machine 2 has a variable cost of $200 per phone and a fixed setup cost of $1,200. How many phones should be made on each machine to minimize the total cost of producing the 1,500 phones? a. Formulate this problem as a mixed integer LP problem. Minimize: X1 + X + Y1 Y2 + Subject to: X1 X1 X2 II + X2 Y1 Y2 X1 X2 VIVI AI AI Y1 binary, Y2 binary b. How many phones should be produced on each machine to minimize cost? What is the total cost of production? Machine 1: Produce Machine 2: Produce phones. phones. Minimum cost = $