The average cost C of producing a machine is partly constant and partly varies inversely as the number of machine produced n. If 25 machine are produced, the average cost is $30,000. The average cost becomes $25,000 when 45 machine are produced. (a) Express C in terms of n.

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Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
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The average cost C of producing a machine is partly constant and partly varies inversely as
the number of machine produced n. If 25 machine are produced, the average cost is $30,000.
The average cost becomes $25,000 when 45 machine are produced.
(a) Express C in terms of n.
(b) How many machine are produced if the cost of each machine is $24,375?
(c) How many machine would be produced if the average production cost is reduced to
$20,625?
Transcribed Image Text:The average cost C of producing a machine is partly constant and partly varies inversely as the number of machine produced n. If 25 machine are produced, the average cost is $30,000. The average cost becomes $25,000 when 45 machine are produced. (a) Express C in terms of n. (b) How many machine are produced if the cost of each machine is $24,375? (c) How many machine would be produced if the average production cost is reduced to $20,625?
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