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.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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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