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A company is creating a new fertilizer additive for lawn seed, which will be a mixture...

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Basic Math

A company is creating a new fertilizer additive for lawn seed,which will be a mixture of nitrogen, phosphate, and potash. Basedon their research, the total amount fertilizer added must be atleast 14 oz. per 5 lb. bag of lawn seed, but should not exceed 20oz. per 5 lb. bag. At least ¼ oz. of nitrogen must be used forevery ounce of phosphate, and at least 1 oz. of potash must be usedfor every ounce of nitrogen. The costs per ounce of nitrogen,phosphate, and potash are $0.30, $0.18, and $0.54, respectively.Determine the mixture of the three ingredients in a 5 lb. bag thatminimizes costs, as well as that cost.

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