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A coffee manufacturer is interested in blending three types of coffee beans into 10,000 pounds of a final coffee blend. The three component beans cost $2.40, $2.60, and $2.00 per pound, respectively. The manufacturer wants to blend the 10,000 pounds at a total cost of $21,000. In blending the coffee, one restriction is that the amounts used of component beans 1 and 2 be the same. Determine whether there is a combination of the three beans which will lead to a final blend of 10,000 pounds costing $21,000 and satisfying the blending restriction.

A coffee manufacturer is interested in blending three types of coffee beans into 10,000 pounds of a final coffee blend. The three component beans cost $2.40, $2.60, and $2.00 per pound, respectively. The manufacturer wants to blend the 10,000 pounds at a total cost of $21,000. In blending the coffee, one restriction is that the amounts used of component beans 1 and 2 be the same. Determine whether there is a combination of the three beans which will lead to a final blend of 10,000 pounds costing $21,000 and satisfying the blending restriction.

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.CT: Chapter Test
Problem 10CT
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A coffee manufacturer is interested in blending three types of coffee beans into 10,000 pounds of a final coffee blend. The three component beans cost $2.40, $2.60, and $2.00 per pound, respectively. The manufacturer wants to blend the 10,000 pounds at a total cost of $21,000. In blending the coffee, one restriction is that the amounts used of component beans 1 and 2 be the same. Determine whether there is a combination of the three beans which will lead to a final blend of 10,000 pounds costing $21,000 and satisfying the blending restriction.
Transcribed Image Text:A coffee manufacturer is interested in blending three types of coffee beans into 10,000 pounds of a final coffee blend. The three component beans cost $2.40, $2.60, and $2.00 per pound, respectively. The manufacturer wants to blend the 10,000 pounds at a total cost of $21,000. In blending the coffee, one restriction is that the amounts used of component beans 1 and 2 be the same. Determine whether there is a combination of the three beans which will lead to a final blend of 10,000 pounds costing $21,000 and satisfying the blending restriction.
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