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 xij be the ounces of chemical i used to produce drug j.

Hence in this case, the linear problem is
Max z = 6(x11 + x21) + 5(x12 + x22) - 6(x11 + x12) - 4

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