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Hilltop Coffee manufactures a coffee product by blending three types of coffee beans. The cost per pound and available pounds are as follows: Bean 1: .50/pound 450 lbs available Bean 2: .70/pound 650 available lbs. Bean 3: .45/pound and 450 pounds available. Consumer tests with with coffee products were used to provide quality ratings on a 0 to 100 scale, with higher ratings indicating higher quality. Product-quality standards for the blended coffee require a consumer rating for taste to be at least 75 and a consumer rating to be at least 80. The aroma and taste ratings for coffee made from 100% of each bean are given in the following:

Bean 1: Aroma rating: 75 Taste rating: 85

Bean 2: Aroma rating: 85 Taste rating: 87

Bean 3: Aroma rating 60 Taste rating: 74

Assume that the aroma and taste attributes of the coffee blend will be a weighted average of the attributes of the beans used in the blend.

A. What is the minimum cost blend of the three beans that will meet the quality standards and provide 1000 pounds of the blended coffee product?

B. What is the bean per pound of the coffee blend?

c. determine the aroma rating for the coffee blend.

c. determine the taste ratings for the coffee blend.

d. If additional coffee were to be produced, what would be the expected cost per pound?

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