- Problem 3 35 Suppose You Are A Strategic Manager Of A Petrochemical Plant That Produces 5 Different Products I E A B 1 (56.94 KiB) Viewed 32 times
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Problem 3 (35) Suppose you are a strategic manager of a petrochemical plant that produces 5 different products (i.e.A,B,C,D,E) by consuming crude oil and natural gas. The requirement of raw material per unit of product is listed below: B A 2 E 3 3 4 D 5 0.5 Crude Oil (bbl/units of product) Natural Gas (m3/units of product) 1 6 4 3 Currently, the petrochemical plant exploits its own oil well with a maximum production capacity of 50000 bbl per day of crude oil and 10000 m per day of Natural Gas. Considering that the profit of producing each product (per unit of product) is given by: с D E A 0.4 B 0.2 Profit(US$/unit) 0.2 0.5 0.1 i- TT Formulate the problem as a linear program that aims at maximizing the profit. Solve the problem using the Simplex Method. How many vertices did you visit before finding the solution? What is the maximum number of vertices you would have needed to enumerate if you wanted to find the solution by evaluating the objective function at each vertex?