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 Pounds1231$0.50$0.702$0.453Consumer tests with coffee products were used to provide ratings on a scale of 0-100, with higher ratings Indicating higher quality. Product quality standards for the blended coffee require a consumer rating for aroma to be at least 75 and a consumer rating for taste to be at least 80. TheIndividual ratings of the aroma and taste for coffee made from 100% of each bean are as follows:Bean Aroma Rating Taste Rating758560854508755074350Assume that the aroma and taste attributes of the coffee blend will be a weighted average of the attributes of the beans used in the blend.(a) What is the minimum-cost blend (In pounds) that will meet the quality standards and provide 1,000 pounds of the blended coffee product?Bean 1240XlbBean 2435x lbBean 3 325Xlb(b) What is the cost per pound for the coffee blend (in dollars)?$ 0.604x(c) Determine the aroma rating for the coffee blend.78.675XDetermine the taste rating for the coffee blend.80.025x(d) If additional coffee were to be produced, what would be the expected cost per pound (in dollars)?$

Decision variables: Suppose-X be the no. of pounds of bean 1Y be the no. of pounds of bean 2Z be the…

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)? $

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section11.4: Marketing Models

Problem 30P: Seas Beginning sells clothing by mail order. An important question is when to strike a customer from...