A nutritionist is designing a new breakfast cereal using wheat germ and enriched

Question

A nutritionist is designing a new breakfast cereal using wheat germ and enriched oat flour as the basic ingredients. The table below shows the nutritional information and costs per ounce. The nutritionist wants each serving of 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? Wheat germ Oat flour Niacin 2 mg 3mg Iron 3 mg 3mg Thiamin .5 mg .25 mg Cost $0.06 $0.08

Explanation / Answer

Let x ounces of the wheat germ and y ounces of the oat floor be used. The LPP is Minimize C = 3x + 4y Subject to 2x + 3y ? 7 [Niacin constraint] 3x + 3y ? 9 [Iron constraint] 0.5x + 0.25y ? 1 [Thiamin constraint] x, y, z ? 0 Graph: The solution is x = 2 ounces of wheat germ, y = 1 ounce of oat floor; Minimum Cost = 10 cents The answer can not be correct as costs are 6 cents and 8 cents respectively. I need all vertices shown for inequalities and then compare costs to find best purchase at least cost.

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