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Quickbrush Paint Company Makes a Profit of $2 Per Gallon

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Essay

Quickbrush Paint Company makes a profit of $2 per gallon on its oil-base paint and $3 per gallon on its water-base paint. Both paints contain two ingredients, A and B. The oil-base paint contains 90 percent A and 10 percent B, whereas the water-base paint contains 30 percent A and 70 percent B. Quickbrush currently has 10,000 gallons of ingredient A and 5,000 gallons of ingredient B in inventory and cannot obtain more at this time. The company wishes to use linear programming to determine the appropriate mix of oil-base and water-base paint to produce to maximize its total profit. How much oil-based and water-based paint should the Quickbrush make?

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Definitions:

Current Account

A component of a country's balance of payments that measures the trade of goods and services, net income, and direct transfers with the rest of the world.

Financial Account

A component of the balance of payments that records investment flows and holdings of foreign assets by domestic residents and domestic assets by foreigners.

Official Reserves

Foreign currencies owned by the central bank of a nation.

Balance Of Payments

A document detailing every financial transaction between a country's inhabitants and international entities within a specific timeframe.

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