A comical plant makes three major products on a weekly basis
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A comical plant makes three major products on a weekly basis

A comical 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 in Table P16.4. Note that there is sufficient warehouse space at the plant to store a total of 450 kg/week.

(a) Set up a linear programming problem to maximize profit.

(b) Solve the linear programming problem with the simplex method.

(c) Solve the problem with a software package.

(d) Evaluate which of the following options will raise profits the most: increasing raw chemical, production time or storage.

Hint
ManagementLinear programming (LP) is a mathematical model in which a linear function is minimized or maximized when subjected to different constraints. Linear programming model include objective function and linear inequalities with subject to the constraints. In order to maximize profits using LP, these steps are followed: indicating the objective function of the problem, indication of the constr...

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