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A linear programming computer package is needed. Hilltop Coffee manufactures a coffee product by blending three types of coffee beans. The cost per pound and the available pounds of each bean are as follows. Bean Cost per Pound Available Pounds 1 Bean 1 Bean 2 Bean 3 2 3 Bean 1 2 3 $0.50 $0.70 Consumer tests with coffee products were used to provide ratings on a scale of 0-100, with higher ratings Indicating higher quality. Product quality standards for the blended coffee require a consumer rating for aroma to be at least 75 and a consumer rating for taste to be at least 80. The Individual ratings of the aroma and taste for coffee made from 100% of each bean are as follows: Aroma Rating Taste Rating $0.45 240 435 325 75 85 60 85 x lb x lb 87 450 74 550 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 (In pounds) that will meet the quality standards and provide 1,000 pounds of the blended coffee product? x lb 350 (b) What is the cost per pound for the coffee blend (in dollars)? $ 0.604 x (c) Determine the aroma rating for the coffee blend. 78.675 Determine the taste rating for the coffee blend. 80.025 x (d) If additional coffee were to be produced, what would be the expected cost per pound (in dollars)? $

A linear programming computer package is needed. Hilltop Coffee manufactures a coffee product by blending three types of coffee beans. The cost per pound and the available pounds of each bean are as follows. Bean Cost per Pound Available Pounds 1 Bean 1 Bean 2 Bean 3 2 3 Bean 1 2 3 $0.50 $0.70 Consumer tests with coffee products were used to provide ratings on a scale of 0-100, with higher ratings Indicating higher quality. Product quality standards for the blended coffee require a consumer rating for aroma to be at least 75 and a consumer rating for taste to be at least 80. The Individual ratings of the aroma and taste for coffee made from 100% of each bean are as follows: Aroma Rating Taste Rating $0.45 240 435 325 75 85 60 85 x lb x lb 87 450 74 550 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 (In pounds) that will meet the quality standards and provide 1,000 pounds of the blended coffee product? x lb 350 (b) What is the cost per pound for the coffee blend (in dollars)? $ 0.604 x (c) Determine the aroma rating for the coffee blend. 78.675 Determine the taste rating for the coffee blend. 80.025 x (d) If additional coffee were to be produced, what would be the expected cost per pound (in dollars)? $

Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
6th Edition
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
ChapterC: Cases
Section: Chapter Questions
Problem 5.1SC: Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing...
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A linear programming computer package is needed. Hilltop Coffee manufactures a coffee product by blending three types of coffee beans. The cost per pound and the available pounds of each bean are as follows. Bean Cost per Pound Available Pounds 1 2 3 1 $0.50 $0.70 2 $0.45 3 Consumer tests with coffee products were used to provide ratings on a scale of 0-100, with higher ratings Indicating higher quality. Product quality standards for the blended coffee require a consumer rating for aroma to be at least 75 and a consumer rating for taste to be at least 80. The Individual ratings of the aroma and taste for coffee made from 100% of each bean are as follows: Bean Aroma Rating Taste Rating 75 85 60 85 450 87 550 74 350 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 (In pounds) that will meet the quality standards and provide 1,000 pounds of the blended coffee product? Bean 1 240 Xlb Bean 2 435 x lb Bean 3 325 Xlb (b) What is the cost per pound for the coffee blend (in dollars)? $ 0.604 x (c) Determine the aroma rating for the coffee blend. 78.675 X Determine the taste rating for the coffee blend. 80.025 x (d) If additional coffee were to be produced, what would be the expected cost per pound (in dollars)? $
Transcribed Image Text:A linear programming computer package is needed. Hilltop Coffee manufactures a coffee product by blending three types of coffee beans. The cost per pound and the available pounds of each bean are as follows. Bean Cost per Pound Available Pounds 1 2 3 1 $0.50 $0.70 2 $0.45 3 Consumer tests with coffee products were used to provide ratings on a scale of 0-100, with higher ratings Indicating higher quality. Product quality standards for the blended coffee require a consumer rating for aroma to be at least 75 and a consumer rating for taste to be at least 80. The Individual ratings of the aroma and taste for coffee made from 100% of each bean are as follows: Bean Aroma Rating Taste Rating 75 85 60 85 450 87 550 74 350 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 (In pounds) that will meet the quality standards and provide 1,000 pounds of the blended coffee product? Bean 1 240 Xlb Bean 2 435 x lb Bean 3 325 Xlb (b) What is the cost per pound for the coffee blend (in dollars)? $ 0.604 x (c) Determine the aroma rating for the coffee blend. 78.675 X Determine the taste rating for the coffee blend. 80.025 x (d) If additional coffee were to be produced, what would be the expected cost per pound (in dollars)? $
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