Formulating a Linear Problem

The steps for defining a linear problem include:

Identifying the decision variables.

Writing the objective function.

Mentioning the constraints.

Explicitly stating the non-negativity restriction.

A problem will be a linear problem if and only if the decision variables, objective function and constraints all are linear functions.

If all the three conditions are satisfied, then it is a linear problem.

Let Iij be the ounces of product i processed into product j, IiS be the ounces of product i sold and RM be the pounds of purchased raw material

LINDO is a software package for linear programming and it helps to get a good feasible solution quickly.

Hence in this case, the changed formulation of linear problem in LINDO form is
MAX 10 I1S + 20 I2S + 30 I3S - 26 RM - 2 I13 - 6 I23 - I12

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Chapter 3.9, Problem 3P

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Chapter 3 Solutions

Introduction to mathematical programming

Ch. 3.1 - Prob. 1P Ch. 3.1 - Prob. 2P Ch. 3.1 - Prob. 3P Ch. 3.1 - Prob. 4P Ch. 3.1 - Prob. 5P Ch. 3.2 - Prob. 1P Ch. 3.2 - Prob. 2P Ch. 3.2 - Prob. 3P Ch. 3.2 - Prob. 4P Ch. 3.2 - Prob. 5P

Ch. 3.2 - Prob. 6P Ch. 3.3 - Prob. 1P Ch. 3.3 - Prob. 2P Ch. 3.3 - Prob. 3P Ch. 3.3 - Prob. 4P Ch. 3.3 - Prob. 5P Ch. 3.3 - Prob. 6P Ch. 3.3 - Prob. 7P Ch. 3.3 - Prob. 8P Ch. 3.3 - Prob. 9P Ch. 3.3 - Prob. 10P Ch. 3.4 - Prob. 1P Ch. 3.4 - Prob. 2P Ch. 3.4 - Prob. 3P Ch. 3.4 - Prob. 4P Ch. 3.5 - Prob. 1P Ch. 3.5 - Prob. 2P Ch. 3.5 - Prob. 3P Ch. 3.5 - Prob. 4P Ch. 3.5 - Prob. 5P Ch. 3.5 - Prob. 6P Ch. 3.5 - Prob. 7P Ch. 3.6 - Prob. 1P Ch. 3.6 - Prob. 2P Ch. 3.6 - Prob. 3P Ch. 3.6 - Prob. 4P Ch. 3.6 - Prob. 5P Ch. 3.7 - Prob. 1P Ch. 3.8 - Prob. 1P Ch. 3.8 - Prob. 2P Ch. 3.8 - Prob. 3P Ch. 3.8 - Prob. 4P Ch. 3.8 - Prob. 5P Ch. 3.8 - Prob. 6P Ch. 3.8 - Prob. 7P Ch. 3.8 - Prob. 8P Ch. 3.8 - Prob. 9P Ch. 3.8 - Prob. 10P Ch. 3.8 - Prob. 11P Ch. 3.8 - Prob. 12P Ch. 3.8 - Prob. 13P Ch. 3.8 - Prob. 14P Ch. 3.9 - Prob. 1P Ch. 3.9 - Prob. 2P Ch. 3.9 - Prob. 3P Ch. 3.9 - Prob. 4P Ch. 3.9 - Prob. 5P Ch. 3.9 - Prob. 6P Ch. 3.9 - Prob. 7P Ch. 3.9 - Prob. 8P Ch. 3.9 - Prob. 9P Ch. 3.9 - Prob. 10P Ch. 3.9 - Prob. 11P Ch. 3.9 - Prob. 12P Ch. 3.9 - Prob. 13P Ch. 3.9 - Prob. 14P Ch. 3.10 - Prob. 1P Ch. 3.10 - Prob. 2P Ch. 3.10 - Prob. 3P Ch. 3.10 - Prob. 4P Ch. 3.10 - Prob. 5P Ch. 3.10 - Prob. 6P Ch. 3.10 - Prob. 7P Ch. 3.10 - Prob. 8P Ch. 3.10 - Prob. 9P Ch. 3.11 - Prob. 1P Ch. 3.11 - Show that Fincos objective function may also be...Ch. 3.11 - Prob. 3P Ch. 3.11 - Prob. 4P Ch. 3.11 - Prob. 7P Ch. 3.11 - Prob. 8P Ch. 3.11 - Prob. 9P Ch. 3.12 - Prob. 2P Ch. 3.12 - Prob. 3P Ch. 3.12 - Prob. 4P Ch. 3 - Prob. 1RP Ch. 3 - Prob. 2RP Ch. 3 - Prob. 3RP Ch. 3 - Prob. 4RP Ch. 3 - Prob. 5RP Ch. 3 - Prob. 6RP Ch. 3 - Prob. 7RP Ch. 3 - Prob. 8RP Ch. 3 - Prob. 9RP Ch. 3 - Prob. 10RP Ch. 3 - Prob. 11RP Ch. 3 - Prob. 12RP Ch. 3 - Prob. 13RP Ch. 3 - Prob. 14RP Ch. 3 - Prob. 15RP Ch. 3 - Prob. 16RP Ch. 3 - Prob. 17RP Ch. 3 - Prob. 18RP Ch. 3 - Prob. 19RP Ch. 3 - Prob. 20RP Ch. 3 - Prob. 21RP Ch. 3 - Prob. 22RP Ch. 3 - Prob. 23RP Ch. 3 - Prob. 24RP Ch. 3 - Prob. 25RP Ch. 3 - Prob. 26RP Ch. 3 - Prob. 27RP Ch. 3 - Prob. 28RP Ch. 3 - Prob. 29RP Ch. 3 - Prob. 30RP Ch. 3 - Prob. 31RP Ch. 3 - Prob. 32RP Ch. 3 - Prob. 33RP Ch. 3 - Prob. 34RP Ch. 3 - Prob. 35RP Ch. 3 - Prob. 36RP Ch. 3 - Prob. 37RP Ch. 3 - Prob. 38RP Ch. 3 - Prob. 39RP Ch. 3 - Prob. 40RP Ch. 3 - Prob. 41RP Ch. 3 - Prob. 42RP Ch. 3 - Prob. 43RP Ch. 3 - Prob. 44RP Ch. 3 - Prob. 45RP Ch. 3 - Prob. 46RP Ch. 3 - Prob. 47RP Ch. 3 - Prob. 48RP Ch. 3 - Prob. 49RP Ch. 3 - Prob. 50RP Ch. 3 - Prob. 51RP Ch. 3 - Prob. 52RP Ch. 3 - Prob. 53RP Ch. 3 - Prob. 54RP Ch. 3 - Prob. 56RP Ch. 3 - Prob. 57RP Ch. 3 - Prob. 58RP Ch. 3 - Prob. 59RP Ch. 3 - Prob. 60RP Ch. 3 - Prob. 61RP Ch. 3 - Prob. 62RP Ch. 3 - Prob. 63RP

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Solution Summary: The author explains the steps for defining a linear problem: identifying the decision variables, writing the objective function, Mentioning the constraints, Explicitly stating the non-negativity restriction.

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Chapter 3 Solutions