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# Simplex Method for Paint

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Submitted By jeff00128
Words 362
Pages 2
Simplex method for the Paint Company
MAT/205 Finite Mathematics
December, 20, 2011

The world of economics for a business can be a challenging area for the owners and operators to keep control of. The process of balancing cost of production to the profit of the item has to be constantly balanced. There are methods that can help a business owner to make the balancing process easier. The simplex method is an algebraic method that can help an individual solve a problem that can have large amounts of variables and problem constraints, and the method also puts inequalities in a format that is usable by computers (Raymond A. Barnett, Michael R. Ziegler, and Karl E. Byleen, 2011). A paint company uses the simplex method to help determine the amount of paint that needs to be produced while keeping cost at a minimum and maximizing profit. The simplex method will be broken down to allow for thorough understanding of the process with the results displayed for the business. The benefits of the method will be discussed so the paint company can utilize the information. A paint company has two plants that produce paint and primer. The A plant produces 20 gallons of paint and 10 gallons of primer per hour. The B plant produces 5 gallons of paint and 25 gallons of primer per hour. The C plant produces 15 gallons of paint and 15 gallons of primer per hour. The price of operating A plant is \$80 per hour, the price to operate B plant is \$70 per hour, and C plant costs \$75 per hour to operate. The company needs to figure out how many hours would each plant need to operate to produce at least 250 gallons of paint and 275 gallons of primer each day. The minimum cost of production also needs to be addressed as a variable. The simplex method is a tool that will help to analyze the data and determine the answers that are desired.
The objective function...

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