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Pre-calculus

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On a chicken farm, the poultry is given a healthy diet to gain weight. The chickens have to consure a minimum of 15 units of substance A and another 15 units of substance B. In the market there are only two classes of compounds: Type 1, with a compoistion of one unit of A to five units of B, and another type, 2, with a compostion of five units of A to one of B. The price of Type 1 is $10 and Type 2 is $30. What are the quantities of each type of compound, that have to be purchased to cover the needs of the diet with a minimal cost?

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