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A company is considering to produce a chemical C, which can be manufactured with either process II or process III, both of which use as

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A company is considering to produce a chemical C, which can be manufactured with either process II or process III, both of which use as raw material chemical B. B can be purchased from another company or else manufactured with process I, which uses A as raw material. Given the specifications below, formulate as MILP model and solve it (using Python) to decide: (i) which process to build (II & III are exclusive). how to obtain chemical B. (iii) how much should be produced of product C? The objective is to maximize profit. Consider the following two cases: 1. Maximum demand of C is 10 tons/hr with a selling price of $1800/ton. 2. Maximum demand of C is 15 tons/hr; the selling price for the first 10 tons/hr is $1800/ton, and $1500/ton for the excess. Investment & Operating Costs Process I Process II Process III Fixed ($/hr) 1000 1500 2000 Variable ($/ton) 250 B 400 550 } Bbc Prices A: $500/ton B: $950/ton Conversions Process I Process II Process III 90% 82% 95% of A to B of B to C of B to C Maximum supply of A: 16 tons/hr (note: scale your cost coefficients - divide them by 100)

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