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Solving Inequations and Linear Programming

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January 19th, 2023

[See the Attached Questions File.]
(1) Graph the following systems of inequalities; find the solution region and the vertices. (2) Solve the following linear programming graphically. …
(5) (a) A nutritionist is designing a new breakfast cereal using wheat germ and enriched oat flour as the basic ingredients. Each ounce of wheat germ contains 2 milligrams of niacin, 3 milligrams of iron, and 0.5 milligram of thiamin and costs 3 cents. Each ounce of enriched oat flour contains 3 milligrams of niacin, 3 milligram of iron, and 0.25 milligram of thiamin and cost 4 cents. The nutritionist wants the cereal to have at least 7 milligrams of niacin, 9 milligrams of iron, and 1 milligram of thiamin. How many ounces of wheat germ and how many ounces of enriched oat flour should be used in each serving to meet the nutritional requirements at the least cost? …

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