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A company makes Lg raisin mix that contain 50 grams of nuts, 15 grams of cereal, and 15 grams of raisins. Sm raisin mix that contains 20 grams of nuts, 10 grams of cereal, and 10 grams of raisins. Large mix contain 50 grams of nuts and 20 grams of cereal. Small mix contains 30 grams of nuts and 10 grams of cereal. Profit is Lg raisin mix 3 cents sm raisin mix 2 cents and lg mix 2.5 and 1.5 for sm mix. The available 1500 grams of nuts, 900 grams of cereal, and 500 grams of raisins. How many boxes of each type can they mix to produce max profit?
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Large raisin mix 50x+15y+15z Small raisin mix 20x+10y+10z Large plain mix 50x+20y Small plain mix 30x+10y constraints x<=1500; y<=900; z<=500
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