Question
A chemical plant makes three major products on a weekly basis. Each of these products requires a certain quantity of raw chemical and different production
A chemical plant makes three major products on a weekly basis. Each of these products requires a certain quantity of raw chemical and different production times, and yields different profits. The pertinent information is given in Table 1. Note that there is sufficient warehouse space at the plant to store a total of 450kg/week.
Product I | Product II | Product III | Resource Availability | |
Raw Chemical | 7kg | 5kg | 5kg | 3000kg |
Production Time | 0.05h/kg | 0.1h/kg | 0.2h/kg | 55h/week |
Profit | $30/kg | $30/kg | $35/kg |
Table I: Datasheet of the three major products of the company
Set up a linear programming problem to maximize profit and solve the linear programming problem with the simplex method manually, as well as by using: i. MATLAB ii. MAPLE iii. Wolfram Mathematica (alongside comments). Compare the results found in the codes written. Also write an algorithm for the same.
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