4460 Optimization Homework 2011

4460 Optimization Homework 2011 - Department of Chemical...

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Department of Chemical Engineering Auburn University Fall 2011 CHEN 4460 Dr. Mario Richard Eden OPTIMIZATION HOMEWORK Turn in at lecture Tuesday November 1 PROBLEM 1 A chemical plant consists of two processes which use ammonia as a raw material. The first process produces urea while the second one yields ammonium nitrate. The net profits for producing urea and ammonium nitrate are 1,100 and 1,600 $/ton produced, respectively. Each process consists of two steps; reaction and drying. The man-hours needed for each step per ton produced of each chemical are given in the table below. Man-hours per ton of Urea Man-hours per ton of Ammonium Nitrate Reaction 4 2 Drying 2 5 Available for service are 80 man-hours per week for the reaction steps of both processes and 60 man-hours per week for the drying steps of both processes. Due to process losses, each ton produced of either chemical requires four tons of ammonia feed. The maximum supply of ammonia to the plant is 75 tons/week. 1.
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4460 Optimization Homework 2011 - Department of Chemical...

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