Long-term projections indicate an expected demand of at least model A cars and 80 model B cars each day. Because of limitations on production capacity, no more than model A cars and model B cars can be made daily.

To satisfy a shipping contract, a total of at least cars much be shipped each day. Therefore it can be seen that we have to produce units of Model A and of Model B on daily basis to maximize net profits. Linear Programming in our daily analytics operations. For solving a problem on LPP we need to formulate the problem eg: 1. We have to consider all the constraint to either maximise or minimise Z.

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Limitations of Graphical Method in Linear Programming

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Marketing Research Tutorial. Business Management for Financial Advisers Tutorial. For example, a manufacturing company may use linear programming to identify ways to minimize production and inventory costs without sacrificing product quality.

Consider a bicycle manufacturer that produces mountain bikes and street bikes, each of which generates a different profit level. The manufacturer would like to know how many bikes of each category to produce so as to maximize profits, given that the business can sell its entire output.

Two different teams produce the mountain bikes and the street bikes by hand, each with production constraints in terms of how many bikes it can produce per day. The bikes also have to go through a machine finishing process that has a limited processing capacity. The business could use the linear programming technique to solve this sort of problem.

Like everything else, this method isn't perfect. Before implementing it it, make sure you have a good understanding of the advantages and disadvantages of linear programming. The linear programming approach is based on an assumption that the world is linear. In the real world, this is not always the case.

There are certain ways of mixing the inputs that a linear programming approach doesn't permit. For instance, the bicycle manufacturer might find that if it orders materials for the two types of bicycles from the same supplier, it could cut costs.