3. Ponderosa Paint and Glass makes paint at three plants. It then ships the unmarked paint cans to a central warehouse. Plant A supplies 35% of the paint, and past records indicate that the paint is incorrectly mixed 10% of the time. Plant B contributes 40%, with paint mixed incorrectly 5% of the time. Plant C supplies 25%, with paint mixed incorrectly 15% of the time. If Ponderosa guarantees its product and spent $20,000 replacing improperly mixed paint last year, how should the cost be distributed among the three plants?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 26EQ
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3. Ponderosa Paint and Glass makes paint at three plants. It then ships the unmarked paint cans to a
central warehouse. Plant A supplies 35% of the paint, and past records indicate that the paint is
incorrectly mixed 10% of the time. Plant B contributes 40%, with paint mixed incorrectly 5% of the
time. Plant C supplies 25%, with paint mixed incorrectly 15% of the time. If Ponderosa guarantees
its product and spent $20,000 replacing improperly mixed paint last year, how should the cost be
distributed among the three plants?
Transcribed Image Text:3. Ponderosa Paint and Glass makes paint at three plants. It then ships the unmarked paint cans to a central warehouse. Plant A supplies 35% of the paint, and past records indicate that the paint is incorrectly mixed 10% of the time. Plant B contributes 40%, with paint mixed incorrectly 5% of the time. Plant C supplies 25%, with paint mixed incorrectly 15% of the time. If Ponderosa guarantees its product and spent $20,000 replacing improperly mixed paint last year, how should the cost be distributed among the three plants?
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