Hilltop Coffee manufactures a coffee product by blending three types of coffee b

Question

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 500 lbs available Bean 2: .70/pound 600 available lbs. Bean 3: .45/pound and 400 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: 86

Bean 2: Aroma rating: 85 Taste rating: 88

Bean 3: Aroma rating 60 Taste rating: 75

It is assumed taht 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?

Explanation / Answer

a. The minimum-cost blend of the threebeansthat will meet thequality standardsand provide 1,000 pounds of the blended coffee product is: 500 pounds of Bean 1, 300 pounds of Bean 2, and 200 pounds of Bean 3.
You're availability constraints are all met with a total of 1000 pounds with an aroma rating of 75 and a taste rating of 84.4

b. The bean cost per pound of the coffee blend is: $.55

Related Questions

Navigate

• Browse (All)
• Browse H
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.