Product B is made in a liquid phase batch reactor in which r

Product B is made in a liquid phase batch reactor in which reactant A is converted to B in a simple first order elementary reaction. On per mole basis, the value of product B is 2 times the value of reactant A. The cost and time of cleaning and preparing the reactor for the next batch is $1,000.00, and 2 hours respectively and assume that the unused reactant is not recovered and recycled and that the cost of downstream processing is not affected by the extent of reaction, Calculate the optimal cycle time using an objective function of average profit per the cycle time and plot the graph of the objective function with respect to cycle time (reaction and clean-up time). Assume that for each batch the reactor volume is 5 m^3, the initial concentration of A is 2 kmol/m^3 and the first order reaction rate constant is 0.317 per hour. You can assume that the product B sells at $800.00/kmol

Solution

the objective of a linea programming problem will be to maximize or to minimize some numerical value . this value may be the expected net present value of a project or a forest property or it may be the cost of a project , it could also be the amount of wood produced,the expeccted number of visitor -days at a park , the number of endangered species that will be save , or thw amount of a particular type of habitat to be maintaiined. linear programming is an extremely general technique, andits applications are limited mainly by our imaginations and our ingenuity.