A power plant has three boilers. If a given boiler is operated, it can be used to produce a quantity of steam (in tons) between the minimum and maximum given in Table 1. The cost of producing a ton of steam on each boiler is also given. Steam from the boilers is used to produce power on three turbines. If operated, each turbine can process an amount of steam (in tons) between the minimum and maximum given in Table 2. The cost of processing a ton of steam and the power produced by each turbine is also given. Table 1: Boilers Capacity Cost/Ton ($) Boiler Minimum Maximum Number Steam Steam 1 500 1000 10 2 300 1900 18 3 400 1800 16 Table 2: Turbines Capacity Turbine Kwh per Processing Cost/Ton ($) Minimum Maximum Number ton of Steam 1 300 600 2 2 500 800 5 3 600 900 6 4 Formulate an IP that can be used to minimize the cost of producing 8,000 kwh of power. Make sure to follow the three steps correctly. Hint: Especially make sure to understand the number of variables and how to link them in the constraints.