A pulp and paper company wants to optimise the mix of different pulps being used

Question

A pulp and paper company wants to optimise the mix of different pulps being used to make one tonne of newsprint. Table 2.1 shows the six types of pulp that can be used and their various properties. The Table also shows the targeted values of the final product. Because of the way the mill runs, the final product must use at least 10% of the groundwood pulps, whether this is groundwood, bleached groundwood or a combination of the two.

Use Linear Program model to solve this problem

PS: assuming all properties of the individual pulps contribute linearly to the properties of the final newsprint

Explanation / Answer

Linear programming (LP, or linear optimization) is a mathematical method for determining a way to achieve the best outcome (such as maximum profit or lowest cost) in a given mathematical model for some list of requirements represented as linear relationships. Linear programming is a specific case of mathematical programming (mathematical optimization). More formally, linear programming is a technique for the optimization of a linear objective function, subject to linear equality and linear inequality constraints. Its feasible region is a convex polyhedron, which is a set defined as the intersection of finitely many half spaces, each of which is defined by a linear inequality. Its objective function is a real-valued affine function defined on this polyhedron. A linear programming algorithm finds a point in the polyhedron where this Report Abuse

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.