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Benjamin Moore Company makes two types of paint, oil based paint and water based paint

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Question;Benjamin Moore Company makes two types of paint, oil based paint and water based paint. It makes a profit of $2 per gallon on its oil-based paint and $4 per gallon on its water-based paint. Both paints contain two ingredients, A and B. The oil-based paint contains 90 percent A and 10 percent B, whereas the water-based paint contains 30 percent A and 70 percent B. Benjamin Moore currently has 8,000 gallons of ingredient A and 9,000 gallons of ingredient B in inventory and cannot obtain more at this time. Due to high demand, the company makes water based paint twice as much as oil based paint. Benjamin Moore wishes to use linear programming to determine the appropriate mix of oil-base and water-based paint to produce to maximize its total profit.

 

Paper#48927 | Written in 18-Jul-2015

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